(Strong) Proper Connection in Some Digraphs

An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors...
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Gespeichert in:

Autor*in:	Yingbin Ma [verfasserIn] Kairui Nie [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Proper path proper connection number proper geodesic strong proper connection number

Übergeordnetes Werk:	In: IEEE Access - IEEE, 2014, 7(2019), Seite 69692-69697
Übergeordnetes Werk:	volume:7 ; year:2019 ; pages:69692-69697

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1109/ACCESS.2019.2918368

Katalog-ID:	DOAJ047359048

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520			\|a An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs.
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spelling	10.1109/ACCESS.2019.2918368 doi (DE-627)DOAJ047359048 (DE-599)DOAJ424fb45961834388b562e67f36814444 DE-627 ger DE-627 rakwb eng TK1-9971 Yingbin Ma verfasserin aut (Strong) Proper Connection in Some Digraphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs. Proper path proper connection number proper geodesic strong proper connection number Electrical engineering. Electronics. Nuclear engineering Kairui Nie verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 69692-69697 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:69692-69697 https://doi.org/10.1109/ACCESS.2019.2918368 kostenfrei https://doaj.org/article/424fb45961834388b562e67f36814444 kostenfrei https://ieeexplore.ieee.org/document/8720152/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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 7 2019 69692-69697
allfields_unstemmed	10.1109/ACCESS.2019.2918368 doi (DE-627)DOAJ047359048 (DE-599)DOAJ424fb45961834388b562e67f36814444 DE-627 ger DE-627 rakwb eng TK1-9971 Yingbin Ma verfasserin aut (Strong) Proper Connection in Some Digraphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs. Proper path proper connection number proper geodesic strong proper connection number Electrical engineering. Electronics. Nuclear engineering Kairui Nie verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 69692-69697 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:69692-69697 https://doi.org/10.1109/ACCESS.2019.2918368 kostenfrei https://doaj.org/article/424fb45961834388b562e67f36814444 kostenfrei https://ieeexplore.ieee.org/document/8720152/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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 7 2019 69692-69697
allfieldsGer	10.1109/ACCESS.2019.2918368 doi (DE-627)DOAJ047359048 (DE-599)DOAJ424fb45961834388b562e67f36814444 DE-627 ger DE-627 rakwb eng TK1-9971 Yingbin Ma verfasserin aut (Strong) Proper Connection in Some Digraphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs. Proper path proper connection number proper geodesic strong proper connection number Electrical engineering. Electronics. Nuclear engineering Kairui Nie verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 69692-69697 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:69692-69697 https://doi.org/10.1109/ACCESS.2019.2918368 kostenfrei https://doaj.org/article/424fb45961834388b562e67f36814444 kostenfrei https://ieeexplore.ieee.org/document/8720152/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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 7 2019 69692-69697
allfieldsSound	10.1109/ACCESS.2019.2918368 doi (DE-627)DOAJ047359048 (DE-599)DOAJ424fb45961834388b562e67f36814444 DE-627 ger DE-627 rakwb eng TK1-9971 Yingbin Ma verfasserin aut (Strong) Proper Connection in Some Digraphs 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs. Proper path proper connection number proper geodesic strong proper connection number Electrical engineering. Electronics. Nuclear engineering Kairui Nie verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 69692-69697 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:69692-69697 https://doi.org/10.1109/ACCESS.2019.2918368 kostenfrei https://doaj.org/article/424fb45961834388b562e67f36814444 kostenfrei https://ieeexplore.ieee.org/document/8720152/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 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 7 2019 69692-69697
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source	In IEEE Access 7(2019), Seite 69692-69697 volume:7 year:2019 pages:69692-69697
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topic_facet	Proper path proper connection number proper geodesic strong proper connection number Electrical engineering. Electronics. Nuclear engineering
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callnumber-first	T - Technology
author	Yingbin Ma
spellingShingle	Yingbin Ma misc TK1-9971 misc Proper path misc proper connection number misc proper geodesic misc strong proper connection number misc Electrical engineering. Electronics. Nuclear engineering (Strong) Proper Connection in Some Digraphs
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topic_title	TK1-9971 (Strong) Proper Connection in Some Digraphs Proper path proper connection number proper geodesic strong proper connection number
topic	misc TK1-9971 misc Proper path misc proper connection number misc proper geodesic misc strong proper connection number misc Electrical engineering. Electronics. Nuclear engineering
topic_unstemmed	misc TK1-9971 misc Proper path misc proper connection number misc proper geodesic misc strong proper connection number misc Electrical engineering. Electronics. Nuclear engineering
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title	(Strong) Proper Connection in Some Digraphs
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title_full	(Strong) Proper Connection in Some Digraphs
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title_sort	(strong) proper connection in some digraphs
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title_auth	(Strong) Proper Connection in Some Digraphs
abstract	An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs.
abstractGer	An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs.
abstract_unstemmed	An arc-colored digraph D is proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj path whose adjacent arcs have different colors and a proper vj - vi path whose adjacent arcs have different colors. The proper connection number of a digraph D is the minimum number of colors needed to make D proper connected, denoted by spc(D). An arc-colored digraph D is strong proper connected if any pair of vertices vi, vj ε V(D) there is a proper vi - vj geodesic and a proper vj - vi geodesic. The strong proper connection number of D is the minimum number of colors required to color the arcs of D in order to make D strong proper connected, denoted by spc(D). In this paper, we will show some results on spc(D) and spc(D), mostly for the case of the (strong) proper connection numbers of cacti and circulant digraphs.
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title_short	(Strong) Proper Connection in Some Digraphs
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