A characterization of the graphs with high degree sum that are not covered by three cycles
文献类型:期刊论文
作者 | Chiba, Shuya1; Tsugaki, Masao2 |
刊名 | ARS COMBINATORIA
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出版日期 | 2016-07-01 |
卷号 | 128页码:127-163 |
关键词 | Degree sum Cycle cover |
ISSN号 | 0381-7032 |
英文摘要 | Let G be a graph of order n. In [A. Saito, Degree sums and graphs that are not covered by two cycles, J. Graph Theory 32 (1999), 51-61.], Saito characterized the graphs with sigma(3)(G) >= n - 1 that are not covered by two cycles. In this paper, we characterize the graphs with sigma(4) (G) >= n - 1 that are not covered by three cycles. Moreover, to prove our main theorem, we show several new results which are useful in the study of this area. |
资助项目 | JSPS[23740087] ; Chinese Academy of Science[2012Y1JA0004] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000380622200010 |
出版者 | CHARLES BABBAGE RES CTR |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23317] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chiba, Shuya |
作者单位 | 1.Kumamoto Univ, Dept Math & Engn, 2-39-1 Kurokami, Kumamoto 8608555, Japan 2.Chinese Acad Sci, Inst Math & Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Chiba, Shuya,Tsugaki, Masao. A characterization of the graphs with high degree sum that are not covered by three cycles[J]. ARS COMBINATORIA,2016,128:127-163. |
APA | Chiba, Shuya,&Tsugaki, Masao.(2016).A characterization of the graphs with high degree sum that are not covered by three cycles.ARS COMBINATORIA,128,127-163. |
MLA | Chiba, Shuya,et al."A characterization of the graphs with high degree sum that are not covered by three cycles".ARS COMBINATORIA 128(2016):127-163. |
入库方式: OAI收割
来源:数学与系统科学研究院
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