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The Chvatal-Erdos condition for panconnectivity of triangle-free graphs
Wei, B; Zhu, YJ
2002-05-31
Source PublicationDISCRETE MATHEMATICS
ISSN0012-365X
Volume252Issue:1-3Pages:203-214
AbstractLet G be a triangle-free graph with it vertices whose independence number does not exceed its connectivity. In this paper, we prove if G is neither K-n/2,K-n/2 nor C-5, then (i) every edge of G is contained in cycles of every length i for 4 less than or equal to i less than or equal to n; (ii) any pair of distinct vertices of G is connected by paths of i vertices for any 5 less than or equal to i less than or equal to n. This generalizes a recent result by Lou (Discrete Math. 152 (1996) 253). (C) 2002 Elsevier Science B.V. All rights reserved.
Keywordconnectivity independence number panconnectivity triangle-free graphs
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000176293900014
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17595
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Wei, B,Zhu, YJ. The Chvatal-Erdos condition for panconnectivity of triangle-free graphs[J]. DISCRETE MATHEMATICS,2002,252(1-3):203-214.
APA Wei, B,&Zhu, YJ.(2002).The Chvatal-Erdos condition for panconnectivity of triangle-free graphs.DISCRETE MATHEMATICS,252(1-3),203-214.
MLA Wei, B,et al."The Chvatal-Erdos condition for panconnectivity of triangle-free graphs".DISCRETE MATHEMATICS 252.1-3(2002):203-214.
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