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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Format: | Article |
Language: | English |
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Wiley
2005-01-01
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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. |
format | Article |
id | doaj-art-627ad6b799a045f79850d8db17df481d |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2005-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT liuxikui theincidencechromaticnumberofsomegraph AT liyan theincidencechromaticnumberofsomegraph AT liuxikui incidencechromaticnumberofsomegraph AT liyan incidencechromaticnumberofsomegraph |