A note on the cover degeneracy of graphs
文献类型:期刊论文
作者 | Zhang, L; Wu, BYDR |
刊名 | JOURNAL OF GRAPH THEORY
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出版日期 | 2006-02-01 |
卷号 | 51期号:2页码:170-173 |
关键词 | planar graph cover degeneracy chromatic number |
ISSN号 | 0364-9024 |
DOI | 10.1002/jgt.20129 |
英文摘要 | We give a 4-chromatic planar graph, which admits a vertex partition into three parts such that the union of every two of them induces a forest. This solves a problem posed by Bohme. Also, by constructing an infinite sequence of graphs, we show that the cover degeneracy can be arbitrarily less than the chromatic number. (c) 2005 Wiley Periodicals, Inc. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000234686600005 |
出版者 | JOHN WILEY & SONS INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3923] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhang, L |
作者单位 | 1.Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, L,Wu, BYDR. A note on the cover degeneracy of graphs[J]. JOURNAL OF GRAPH THEORY,2006,51(2):170-173. |
APA | Zhang, L,&Wu, BYDR.(2006).A note on the cover degeneracy of graphs.JOURNAL OF GRAPH THEORY,51(2),170-173. |
MLA | Zhang, L,et al."A note on the cover degeneracy of graphs".JOURNAL OF GRAPH THEORY 51.2(2006):170-173. |
入库方式: OAI收割
来源:数学与系统科学研究院
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