KMS Of Academy of mathematics and systems sciences, CAS
The classification of f-coloring of graphs with large maximum degree | |
Cai, Jiansheng1; Yan, Guiying2; Zhang, Xia3 | |
2017-11-15 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
卷号 | 313页码:119-121 |
摘要 | Let 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. |
关键词 | Coloring Edge coloring f-Coloring Local Lemma |
DOI | 10.1016/j.amc.2017.05.059 |
语种 | 英语 |
资助项目 | NSFC[11571258] ; NSFC[11371355] ; SDNSF[ZR2016AM01] ; SDNSF[ZR2014JL001] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000405665500009 |
出版者 | ELSEVIER SCIENCE INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26171 |
专题 | 应用数学研究所 |
通讯作者 | Cai, Jiansheng |
作者单位 | 1.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 |
推荐引用方式 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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