KMS Of Academy of mathematics and systems sciences, CAS
Fan-type theorem for path-connectivity | |
Hu, ZQ; Tian, F; Wei, B; Egawa, Y; Hirohata, K | |
2002-04-01 | |
发表期刊 | JOURNAL OF GRAPH THEORY |
ISSN | 0364-9024 |
卷号 | 39期号:4页码:265-282 |
摘要 | For a connected noncomplete graph G, let mu(G) = min{max {d(G)(u), d(G)(v)}:d(G)(u, v)=2}. A well-known theorem of Fan says that every 2-connected noncomplete graph has a cycle of length at least min{\V(G)\, 2mu(G)}. In this paper, we prove the following Fan-type theorem: if G is a 3-connected noncomplete graph, then each pair of distinct vertices of G is joined by a path of length at least min{\V(G)\-1, 2mu(G) - 2}. As consequences, we have: (i) if G is a 3-connected noncomplete graph with mu(G) > \V(G)\/2, then G is Hamilton-connected; (ii) if G is a (s + 2)-connected noncomplete graph, where s greater than or equal to 1 is an integer, then through each path of length s of G there passes a cycle of length greater than or equal to min{\V(G)\, 2mu(G) - s}. Several results known before are generalized and a conjecture of Enomoto, Hirohata, and Ota is proved. (C) 2002 Wiley Periodicals, Inc. |
关键词 | cycle path subvine |
DOI | 10.1002/jgt.10028 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000174516000005 |
出版者 | JOHN WILEY & SONS 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/17849 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Hu, ZQ |
作者单位 | 1.Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Sci Univ Tokyo, Dept Math Appl, Shinjuku Ku, Tokyo 1628601, Japan 4.Ibaraki Natl Coll Technol, Dept Elect & Comp Engn, Ibaraki 3128508, Japan |
推荐引用方式 GB/T 7714 | Hu, ZQ,Tian, F,Wei, B,et al. Fan-type theorem for path-connectivity[J]. JOURNAL OF GRAPH THEORY,2002,39(4):265-282. |
APA | Hu, ZQ,Tian, F,Wei, B,Egawa, Y,&Hirohata, K.(2002).Fan-type theorem for path-connectivity.JOURNAL OF GRAPH THEORY,39(4),265-282. |
MLA | Hu, ZQ,et al."Fan-type theorem for path-connectivity".JOURNAL OF GRAPH THEORY 39.4(2002):265-282. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Hu, ZQ]的文章 |
[Tian, F]的文章 |
[Wei, B]的文章 |
百度学术 |
百度学术中相似的文章 |
[Hu, ZQ]的文章 |
[Tian, F]的文章 |
[Wei, B]的文章 |
必应学术 |
必应学术中相似的文章 |
[Hu, ZQ]的文章 |
[Tian, F]的文章 |
[Wei, B]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论