Some Results on Edge Coloring Problems  with Constraints in Graphs

Liu Guizhen; Hou Jianfeng

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Some Results on Edge Coloring Problems with Constraints in Graphs

Liu Guizhen * #,Hou Jianfeng

Shandong University

*Correspondence author

#Submitted by

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Funding: 教育部博士点基金,国家自然科学基金（No.200804220001,10871119）

Opened online:12 October 2009

Accepted by: none

Citation: Liu Guizhen ,Hou Jianfeng .Some Results on Edge Coloring Problems with Constraints in Graphs[OL]. [12 October 2009] http://en.paper.edu.cn/en_releasepaper/content/35731

In this paper some new results on the acyclic-edge coloring, $f$-edge coloring, $g$-edge cover coloring, $(g, f)$-coloring and equitable edge-coloring of graphs are introduced. In particular, some new results related to the above colorings obtained by us are given. Some new problems and conjectures are presented.

Keywords:acyclic-edge coloring;f-edge coloring;g-edge covered coloring;(g,f)-coloring;equitable edge-coloring

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