Edge Metric Dimension of Some Graph Operations

Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a ve...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Peterin, Iztok [verfasserIn] Yero, Ismael G. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Edge metric dimension Join of graphs Lexicographic product graphs Corona graphs

Übergeordnetes Werk:	Enthalten in: Bulletin of the Malaysian Mathematical Sciences Society - [Singapore] : Springer Singapore, 2000, 43(2019), 3 vom: 01. Aug., Seite 2465-2477
Übergeordnetes Werk:	volume:43 ; year:2019 ; number:3 ; day:01 ; month:08 ; pages:2465-2477

Links:	Volltext

DOI / URN:	10.1007/s40840-019-00816-7

Katalog-ID:	SPR039474313

Internformat


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520			\|a Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article.
650		4	\|a Edge metric dimension \|7 (dpeaa)DE-He213
650		4	\|a Join of graphs \|7 (dpeaa)DE-He213
650		4	\|a Lexicographic product graphs \|7 (dpeaa)DE-He213
650		4	\|a Corona graphs \|7 (dpeaa)DE-He213
700	1		\|a Yero, Ismael G. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Bulletin of the Malaysian Mathematical Sciences Society \|d [Singapore] : Springer Singapore, 2000 \|g 43(2019), 3 vom: 01. Aug., Seite 2465-2477 \|w (DE-627)843984465 \|w (DE-600)2842782-8 \|x 2180-4206 \|7 nnns
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856	4	0	\|u https://dx.doi.org/10.1007/s40840-019-00816-7 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_63
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912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
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912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
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912			\|a GBV_ILN_4334
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Indexfelder

author_variant	i p ip i g y ig igy
matchkey_str	article:21804206:2019----::deerciesoosmgah
hierarchy_sort_str	2019
publishDate	2019
allfields	10.1007/s40840-019-00816-7 doi (DE-627)SPR039474313 (SPR)s40840-019-00816-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Peterin, Iztok verfasserin aut Edge Metric Dimension of Some Graph Operations 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article. Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213 Yero, Ismael G. verfasserin aut Enthalten in Bulletin of the Malaysian Mathematical Sciences Society [Singapore] : Springer Singapore, 2000 43(2019), 3 vom: 01. Aug., Seite 2465-2477 (DE-627)843984465 (DE-600)2842782-8 2180-4206 nnns volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477 https://dx.doi.org/10.1007/s40840-019-00816-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 43 2019 3 01 08 2465-2477
spelling	10.1007/s40840-019-00816-7 doi (DE-627)SPR039474313 (SPR)s40840-019-00816-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Peterin, Iztok verfasserin aut Edge Metric Dimension of Some Graph Operations 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article. Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213 Yero, Ismael G. verfasserin aut Enthalten in Bulletin of the Malaysian Mathematical Sciences Society [Singapore] : Springer Singapore, 2000 43(2019), 3 vom: 01. Aug., Seite 2465-2477 (DE-627)843984465 (DE-600)2842782-8 2180-4206 nnns volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477 https://dx.doi.org/10.1007/s40840-019-00816-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 43 2019 3 01 08 2465-2477
allfields_unstemmed	10.1007/s40840-019-00816-7 doi (DE-627)SPR039474313 (SPR)s40840-019-00816-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Peterin, Iztok verfasserin aut Edge Metric Dimension of Some Graph Operations 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article. Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213 Yero, Ismael G. verfasserin aut Enthalten in Bulletin of the Malaysian Mathematical Sciences Society [Singapore] : Springer Singapore, 2000 43(2019), 3 vom: 01. Aug., Seite 2465-2477 (DE-627)843984465 (DE-600)2842782-8 2180-4206 nnns volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477 https://dx.doi.org/10.1007/s40840-019-00816-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 43 2019 3 01 08 2465-2477
allfieldsGer	10.1007/s40840-019-00816-7 doi (DE-627)SPR039474313 (SPR)s40840-019-00816-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Peterin, Iztok verfasserin aut Edge Metric Dimension of Some Graph Operations 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article. Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213 Yero, Ismael G. verfasserin aut Enthalten in Bulletin of the Malaysian Mathematical Sciences Society [Singapore] : Springer Singapore, 2000 43(2019), 3 vom: 01. Aug., Seite 2465-2477 (DE-627)843984465 (DE-600)2842782-8 2180-4206 nnns volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477 https://dx.doi.org/10.1007/s40840-019-00816-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 43 2019 3 01 08 2465-2477
allfieldsSound	10.1007/s40840-019-00816-7 doi (DE-627)SPR039474313 (SPR)s40840-019-00816-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Peterin, Iztok verfasserin aut Edge Metric Dimension of Some Graph Operations 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article. Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213 Yero, Ismael G. verfasserin aut Enthalten in Bulletin of the Malaysian Mathematical Sciences Society [Singapore] : Springer Singapore, 2000 43(2019), 3 vom: 01. Aug., Seite 2465-2477 (DE-627)843984465 (DE-600)2842782-8 2180-4206 nnns volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477 https://dx.doi.org/10.1007/s40840-019-00816-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 43 2019 3 01 08 2465-2477
language	English
source	Enthalten in Bulletin of the Malaysian Mathematical Sciences Society 43(2019), 3 vom: 01. Aug., Seite 2465-2477 volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477
sourceStr	Enthalten in Bulletin of the Malaysian Mathematical Sciences Society 43(2019), 3 vom: 01. Aug., Seite 2465-2477 volume:43 year:2019 number:3 day:01 month:08 pages:2465-2477
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Edge metric dimension Join of graphs Lexicographic product graphs Corona graphs
dewey-raw	510
isfreeaccess_bool	false
container_title	Bulletin of the Malaysian Mathematical Sciences Society
authorswithroles_txt_mv	Peterin, Iztok @@aut@@ Yero, Ismael G. @@aut@@
publishDateDaySort_date	2019-08-01T00:00:00Z
hierarchy_top_id	843984465
dewey-sort	3510
id	SPR039474313
language_de	englisch
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author	Peterin, Iztok
spellingShingle	Peterin, Iztok ddc 510 misc Edge metric dimension misc Join of graphs misc Lexicographic product graphs misc Corona graphs Edge Metric Dimension of Some Graph Operations
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topic_title	510 ASE Edge Metric Dimension of Some Graph Operations Edge metric dimension (dpeaa)DE-He213 Join of graphs (dpeaa)DE-He213 Lexicographic product graphs (dpeaa)DE-He213 Corona graphs (dpeaa)DE-He213
topic	ddc 510 misc Edge metric dimension misc Join of graphs misc Lexicographic product graphs misc Corona graphs
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title	Edge Metric Dimension of Some Graph Operations
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title_full	Edge Metric Dimension of Some Graph Operations
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title_sort	edge metric dimension of some graph operations
title_auth	Edge Metric Dimension of Some Graph Operations
abstract	Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article.
abstractGer	Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article.
abstract_unstemmed	Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article.
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title_short	Edge Metric Dimension of Some Graph Operations
url	https://dx.doi.org/10.1007/s40840-019-00816-7
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up_date	2024-07-04T00:05:46.791Z
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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">SPR039474313</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220112034156.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201007s2019 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s40840-019-00816-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR039474313</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s40840-019-00816-7-e</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="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Peterin, Iztok</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Edge Metric Dimension of Some Graph Operations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</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">Abstract Let %$G=(V, E)%$ be a connected graph. Given a vertex %$v\in V%$ and an edge %$e=uw\in E%$, the distance between v and e is defined as %$d_G(e,v)=\min \{d_G(u,v),d_G(w,v)\}%$. A nonempty set %$S\subset V%$ is an edge metric generator for G if for any two edges %$e_1,e_2\in E%$ there is a vertex %$w\in S%$ such that %$d_G(w,e_1)\ne d_G(w,e_2)%$. The minimum cardinality of any edge metric generator for a graph G is the edge metric dimension of G. The edge metric dimension of the join, lexicographic, and corona product of graphs is studied in this article.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Edge metric dimension</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Join of graphs</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lexicographic product graphs</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Corona graphs</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yero, Ismael G.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Bulletin of the Malaysian Mathematical Sciences Society</subfield><subfield code="d">[Singapore] : Springer Singapore, 2000</subfield><subfield code="g">43(2019), 3 vom: 01. Aug., Seite 2465-2477</subfield><subfield code="w">(DE-627)843984465</subfield><subfield code="w">(DE-600)2842782-8</subfield><subfield code="x">2180-4206</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:43</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:3</subfield><subfield code="g">day:01</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:2465-2477</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s40840-019-00816-7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</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_SPRINGER</subfield></datafield><datafield 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Edge Metric Dimension of Some Graph Operations

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