Computing multiple ABC index and multiple GA index of some grid graphs

Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Gao Wei [verfasserIn] Siddiqui Muhammad Kamran [verfasserIn] Naeem Muhammad [verfasserIn] Imran Muhammad [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox

Übergeordnetes Werk:	In: Open Physics - De Gruyter, 2015, 16(2018), 1, Seite 588-598
Übergeordnetes Werk:	volume:16 ; year:2018 ; number:1 ; pages:588-598

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1515/phys-2018-0077

Katalog-ID:	DOAJ062478508

Internformat


LEADER	01000caa a22002652 4500
001	DOAJ062478508
003	DE-627
005	20230309021345.0
007	cr uuu---uuuuu
008	230228s2018 xx \|\|\|\|\|o 00\| \|\|eng c
024	7		\|a 10.1515/phys-2018-0077 \|2 doi
035			\|a (DE-627)DOAJ062478508
035			\|a (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
050		0	\|a QC1-999
100	0		\|a Gao Wei \|e verfasserin \|4 aut
245	1	0	\|a Computing multiple ABC index and multiple GA index of some grid graphs
264		1	\|c 2018
336			\|a Text \|b txt \|2 rdacontent
337			\|a Computermedien \|b c \|2 rdamedia
338			\|a Online-Ressource \|b cr \|2 rdacarrier
520			\|a Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
650		4	\|a atom-bond-connectivity index
650		4	\|a geometric-arithmetic index
650		4	\|a octagonal grid
650		4	\|a hexagonal grid
650		4	\|a square grid
650		4	\|a 02.10.ox
653		0	\|a Physics
700	0		\|a Siddiqui Muhammad Kamran \|e verfasserin \|4 aut
700	0		\|a Naeem Muhammad \|e verfasserin \|4 aut
700	0		\|a Imran Muhammad \|e verfasserin \|4 aut
773	0	8	\|i In \|t Open Physics \|d De Gruyter, 2015 \|g 16(2018), 1, Seite 588-598 \|w (DE-627)820684708 \|w (DE-600)2814058-8 \|x 23915471 \|7 nnns
773	1	8	\|g volume:16 \|g year:2018 \|g number:1 \|g pages:588-598
856	4	0	\|u https://doi.org/10.1515/phys-2018-0077 \|z kostenfrei
856	4	0	\|u https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 \|z kostenfrei
856	4	0	\|u https://doi.org/10.1515/phys-2018-0077 \|z kostenfrei
856	4	2	\|u https://doaj.org/toc/2391-5471 \|y Journal toc \|z kostenfrei
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_DOAJ
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_95
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_213
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 16 \|j 2018 \|e 1 \|h 588-598

Indexfelder

author_variant	g w gw s m k smk n m nm i m im
matchkey_str	article:23915471:2018----::optnmlilacneadutpeane
hierarchy_sort_str	2018
callnumber-subject-code	QC
publishDate	2018
allfields	10.1515/phys-2018-0077 doi (DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2 DE-627 ger DE-627 rakwb eng QC1-999 Gao Wei verfasserin aut Computing multiple ABC index and multiple GA index of some grid graphs 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index. atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics Siddiqui Muhammad Kamran verfasserin aut Naeem Muhammad verfasserin aut Imran Muhammad verfasserin aut In Open Physics De Gruyter, 2015 16(2018), 1, Seite 588-598 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:16 year:2018 number:1 pages:588-598 https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 kostenfrei https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2018 1 588-598
spelling	10.1515/phys-2018-0077 doi (DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2 DE-627 ger DE-627 rakwb eng QC1-999 Gao Wei verfasserin aut Computing multiple ABC index and multiple GA index of some grid graphs 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index. atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics Siddiqui Muhammad Kamran verfasserin aut Naeem Muhammad verfasserin aut Imran Muhammad verfasserin aut In Open Physics De Gruyter, 2015 16(2018), 1, Seite 588-598 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:16 year:2018 number:1 pages:588-598 https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 kostenfrei https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2018 1 588-598
allfields_unstemmed	10.1515/phys-2018-0077 doi (DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2 DE-627 ger DE-627 rakwb eng QC1-999 Gao Wei verfasserin aut Computing multiple ABC index and multiple GA index of some grid graphs 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index. atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics Siddiqui Muhammad Kamran verfasserin aut Naeem Muhammad verfasserin aut Imran Muhammad verfasserin aut In Open Physics De Gruyter, 2015 16(2018), 1, Seite 588-598 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:16 year:2018 number:1 pages:588-598 https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 kostenfrei https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2018 1 588-598
allfieldsGer	10.1515/phys-2018-0077 doi (DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2 DE-627 ger DE-627 rakwb eng QC1-999 Gao Wei verfasserin aut Computing multiple ABC index and multiple GA index of some grid graphs 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index. atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics Siddiqui Muhammad Kamran verfasserin aut Naeem Muhammad verfasserin aut Imran Muhammad verfasserin aut In Open Physics De Gruyter, 2015 16(2018), 1, Seite 588-598 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:16 year:2018 number:1 pages:588-598 https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 kostenfrei https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2018 1 588-598
allfieldsSound	10.1515/phys-2018-0077 doi (DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2 DE-627 ger DE-627 rakwb eng QC1-999 Gao Wei verfasserin aut Computing multiple ABC index and multiple GA index of some grid graphs 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index. atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics Siddiqui Muhammad Kamran verfasserin aut Naeem Muhammad verfasserin aut Imran Muhammad verfasserin aut In Open Physics De Gruyter, 2015 16(2018), 1, Seite 588-598 (DE-627)820684708 (DE-600)2814058-8 23915471 nnns volume:16 year:2018 number:1 pages:588-598 https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 kostenfrei https://doi.org/10.1515/phys-2018-0077 kostenfrei https://doaj.org/toc/2391-5471 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2018 1 588-598
language	English
source	In Open Physics 16(2018), 1, Seite 588-598 volume:16 year:2018 number:1 pages:588-598
sourceStr	In Open Physics 16(2018), 1, Seite 588-598 volume:16 year:2018 number:1 pages:588-598
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox Physics
isfreeaccess_bool	true
container_title	Open Physics
authorswithroles_txt_mv	Gao Wei @@aut@@ Siddiqui Muhammad Kamran @@aut@@ Naeem Muhammad @@aut@@ Imran Muhammad @@aut@@
publishDateDaySort_date	2018-01-01T00:00:00Z
hierarchy_top_id	820684708
id	DOAJ062478508
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">DOAJ062478508</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230309021345.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230228s2018 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/phys-2018-0077</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)DOAJ062478508</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC1-999</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Gao Wei</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computing multiple ABC index and multiple GA index of some grid graphs</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">atom-bond-connectivity index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">geometric-arithmetic index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">octagonal grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">hexagonal grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">square grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">02.10.ox</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Physics</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Siddiqui Muhammad Kamran</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Naeem Muhammad</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Imran Muhammad</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">Open Physics</subfield><subfield code="d">De Gruyter, 2015</subfield><subfield code="g">16(2018), 1, Seite 588-598</subfield><subfield code="w">(DE-627)820684708</subfield><subfield code="w">(DE-600)2814058-8</subfield><subfield code="x">23915471</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:16</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:1</subfield><subfield code="g">pages:588-598</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/phys-2018-0077</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/phys-2018-0077</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://doaj.org/toc/2391-5471</subfield><subfield code="y">Journal toc</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_DOAJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">16</subfield><subfield code="j">2018</subfield><subfield code="e">1</subfield><subfield code="h">588-598</subfield></datafield></record></collection>
callnumber-first	Q - Science
author	Gao Wei
spellingShingle	Gao Wei misc QC1-999 misc atom-bond-connectivity index misc geometric-arithmetic index misc octagonal grid misc hexagonal grid misc square grid misc 02.10.ox misc Physics Computing multiple ABC index and multiple GA index of some grid graphs
authorStr	Gao Wei
ppnlink_with_tag_str_mv	@@773@@(DE-627)820684708
format	electronic Article
delete_txt_mv	keep
author_role	aut aut aut aut
collection	DOAJ
remote_str	true
callnumber-label	QC1-999
illustrated	Not Illustrated
issn	23915471
topic_title	QC1-999 Computing multiple ABC index and multiple GA index of some grid graphs atom-bond-connectivity index geometric-arithmetic index octagonal grid hexagonal grid square grid 02.10.ox
topic	misc QC1-999 misc atom-bond-connectivity index misc geometric-arithmetic index misc octagonal grid misc hexagonal grid misc square grid misc 02.10.ox misc Physics
topic_unstemmed	misc QC1-999 misc atom-bond-connectivity index misc geometric-arithmetic index misc octagonal grid misc hexagonal grid misc square grid misc 02.10.ox misc Physics
topic_browse	misc QC1-999 misc atom-bond-connectivity index misc geometric-arithmetic index misc octagonal grid misc hexagonal grid misc square grid misc 02.10.ox misc Physics
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	cr
hierarchy_parent_title	Open Physics
hierarchy_parent_id	820684708
hierarchy_top_title	Open Physics
isfreeaccess_txt	true
familylinks_str_mv	(DE-627)820684708 (DE-600)2814058-8
title	Computing multiple ABC index and multiple GA index of some grid graphs
ctrlnum	(DE-627)DOAJ062478508 (DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2
title_full	Computing multiple ABC index and multiple GA index of some grid graphs
author_sort	Gao Wei
journal	Open Physics
journalStr	Open Physics
callnumber-first-code	Q
lang_code	eng
isOA_bool	true
recordtype	marc
publishDateSort	2018
contenttype_str_mv	txt
container_start_page	588
author_browse	Gao Wei Siddiqui Muhammad Kamran Naeem Muhammad Imran Muhammad
container_volume	16
class	QC1-999
format_se	Elektronische Aufsätze
author-letter	Gao Wei
doi_str_mv	10.1515/phys-2018-0077
author2-role	verfasserin
title_sort	computing multiple abc index and multiple ga index of some grid graphs
callnumber	QC1-999
title_auth	Computing multiple ABC index and multiple GA index of some grid graphs
abstract	Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
abstractGer	Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
abstract_unstemmed	Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700
container_issue	1
title_short	Computing multiple ABC index and multiple GA index of some grid graphs
url	https://doi.org/10.1515/phys-2018-0077 https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2 https://doaj.org/toc/2391-5471
remote_bool	true
author2	Siddiqui Muhammad Kamran Naeem Muhammad Imran Muhammad
author2Str	Siddiqui Muhammad Kamran Naeem Muhammad Imran Muhammad
ppnlink	820684708
callnumber-subject	QC - Physics
mediatype_str_mv	c
isOA_txt	true
hochschulschrift_bool	false
doi_str	10.1515/phys-2018-0077
callnumber-a	QC1-999
up_date	2024-07-04T01:48:55.196Z
_version_	1803611259742978048
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">DOAJ062478508</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230309021345.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230228s2018 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/phys-2018-0077</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)DOAJ062478508</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DOAJf50da6427c1f4f4daec2cab496c110d2</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC1-999</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Gao Wei</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computing multiple ABC index and multiple GA index of some grid graphs</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity (ABC) index and geometric arithmetic (GA) index are topological indices which are defined as ABC(G)=∑uv∈E(G)du+dv−2dudv $ABC(G)=\sum_{uv\in E(G)}\sqrt{\frac{d_u+d_v-2}{d_ud_v}}$ and GA(G)=∑uv∈E(G)2dudvdu+dv $GA(G)=\sum_{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where du is the degree of the vertex u. The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity (ABC) index and multiple geometric arithmetic (GA) index. As an application, we have computed these newly defined indices for the octagonal grid Opq $O_p^q$ , the hexagonal grid H(p, q) and the square grid Gp, q. Also, we compared these results obtained with the ones by other indices like the ABC4 index and the GA5 index.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">atom-bond-connectivity index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">geometric-arithmetic index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">octagonal grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">hexagonal grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">square grid</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">02.10.ox</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Physics</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Siddiqui Muhammad Kamran</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Naeem Muhammad</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Imran Muhammad</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">Open Physics</subfield><subfield code="d">De Gruyter, 2015</subfield><subfield code="g">16(2018), 1, Seite 588-598</subfield><subfield code="w">(DE-627)820684708</subfield><subfield code="w">(DE-600)2814058-8</subfield><subfield code="x">23915471</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:16</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:1</subfield><subfield code="g">pages:588-598</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/phys-2018-0077</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doaj.org/article/f50da6427c1f4f4daec2cab496c110d2</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/phys-2018-0077</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://doaj.org/toc/2391-5471</subfield><subfield code="y">Journal toc</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_DOAJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">16</subfield><subfield code="j">2018</subfield><subfield code="e">1</subfield><subfield code="h">588-598</subfield></datafield></record></collection>
score	7.402237

Nicht das Richtige dabei?

Schreiben Sie uns!

Computing multiple ABC index and multiple GA index of some grid graphs

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?