The incidence chromatic number of some graph

The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)+2 colors. In this paper, we calculate the incidence chromatic numbers of the complete k-partite graphs and give the incidence...

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Main Authors: Liu Xikui, Li Yan
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.803
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author Liu Xikui
Li Yan
author_facet Liu Xikui
Li Yan
author_sort Liu Xikui
collection DOAJ
description The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)+2 colors. In this paper, we calculate the incidence chromatic numbers of the complete k-partite graphs and give the incidence chromatic number of three infinite families of graphs.
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institution Kabale University
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1687-0425
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publishDate 2005-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-627ad6b799a045f79850d8db17df481d2025-02-03T06:07:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005580381310.1155/IJMMS.2005.803The incidence chromatic number of some graphLiu Xikui0Li Yan1College of Information & Engineering, Shandong University of Science and Technology, Shandong, Qingdao 266510, ChinaCollege of Information & Engineering, Shandong University of Science and Technology, Shandong, Qingdao 266510, ChinaThe concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)+2 colors. In this paper, we calculate the incidence chromatic numbers of the complete k-partite graphs and give the incidence chromatic number of three infinite families of graphs.http://dx.doi.org/10.1155/IJMMS.2005.803
spellingShingle Liu Xikui
Li Yan
The incidence chromatic number of some graph
International Journal of Mathematics and Mathematical Sciences
title The incidence chromatic number of some graph
title_full The incidence chromatic number of some graph
title_fullStr The incidence chromatic number of some graph
title_full_unstemmed The incidence chromatic number of some graph
title_short The incidence chromatic number of some graph
title_sort incidence chromatic number of some graph
url http://dx.doi.org/10.1155/IJMMS.2005.803
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