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Hamilton connectivity of line graphs and claw-free graphs
Hu, ZQ; Tian, F; Wei, B
2005-10-01
Source PublicationJOURNAL OF GRAPH THEORY
ISSN0364-9024
Volume50Issue:2Pages:130-141
AbstractLet G be a graph and let V-0 = {v epsilon V(G): d(G)(v)= 6}. We show in this paper that: (1) if G is a 6-connected line graph and if vertical bar V(0)vertical bar <= 29 or G[V-0] contains at most 5 vertex disjoint K-4's, then G is Hamilton-connected; (ii) every 8-connected claw-free graph is Hamilton-connected. Several related results known before are generalized. (c) 2005 Wiley Periodicals, Inc.
KeywordHamilton-connected hamiltonian cycle line graph claw-free graph spanning trail
DOI10.1002/jgt.20099
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000231913300004
PublisherJOHN WILEY & SONS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/1373
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHu, ZQ
Affiliation1.Cent China Normal Univ, Fac Math & Stat, Hubei 430079, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Univ Mississippi, Dept Math, University, MS 38677 USA
Recommended Citation
GB/T 7714
Hu, ZQ,Tian, F,Wei, B. Hamilton connectivity of line graphs and claw-free graphs[J]. JOURNAL OF GRAPH THEORY,2005,50(2):130-141.
APA Hu, ZQ,Tian, F,&Wei, B.(2005).Hamilton connectivity of line graphs and claw-free graphs.JOURNAL OF GRAPH THEORY,50(2),130-141.
MLA Hu, ZQ,et al."Hamilton connectivity of line graphs and claw-free graphs".JOURNAL OF GRAPH THEORY 50.2(2005):130-141.
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