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The classification of f-coloring of graphs with large maximum degree
Cai, Jiansheng1; Yan, Guiying2; Zhang, Xia3
2017-11-15
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume313Pages:119-121
AbstractLet G = (V, E) be a simple graph with vertex set V and edge set E. Define an integer-valued function f on V such that f(nu) > 0 for every nu epsilon V. An f-coloring of G is an edge-coloring of it such that each color class appears at every vertex nu epsilon V (G) at most f(nu) times. In this paper, we give a sufficient condition for a simple graph with large maximum degree to be of f-class 1. (C) 2017 Elsevier Inc. All rights reserved.
KeywordColoring Edge coloring f-Coloring Local Lemma
DOI10.1016/j.amc.2017.05.059
Language英语
Funding ProjectNSFC[11571258] ; NSFC[11371355] ; SDNSF[ZR2016AM01] ; SDNSF[ZR2014JL001]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000405665500009
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26171
Collection应用数学研究所
Affiliation1.Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Shandong Normal Univ, Sch Math, Jinan 250114, Shandong, Peoples R China
Recommended Citation
GB/T 7714
Cai, Jiansheng,Yan, Guiying,Zhang, Xia. The classification of f-coloring of graphs with large maximum degree[J]. APPLIED MATHEMATICS AND COMPUTATION,2017,313:119-121.
APA Cai, Jiansheng,Yan, Guiying,&Zhang, Xia.(2017).The classification of f-coloring of graphs with large maximum degree.APPLIED MATHEMATICS AND COMPUTATION,313,119-121.
MLA Cai, Jiansheng,et al."The classification of f-coloring of graphs with large maximum degree".APPLIED MATHEMATICS AND COMPUTATION 313(2017):119-121.
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