Hamiltonicity of 4-connected graphs

doi:10.1007/s10114-010-7514-z

CSpace

	Hamiltonicity of 4-connected graphs
	Li, Hao 5,6,7; Tian, Feng 4; Xu, Zhi Xia 1,2,3
	2010-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	26 期号:4 页码:699-710
摘要	Let sigma (kappa) (G) denote the minimum degree sum of k independent vertices in G and alpha(G) denote the number of the vertices of a maximum independent set of G. In this paper we prove that if G is a 4-connected graph of order n and sigma (5)(G) a parts per thousand yen n + 3 alpha(G) + 11, then G is Hamiltonian.
关键词	k-connected Hamiltonian insertible vertex crossing diagonals
DOI	10.1007/s10114-010-7514-z
语种	英语
资助项目	NNSF of China[60373012] ; NSFC[10601044] ; [XJEDU2006S05]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274455100010
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10894
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Zhi Xia
作者单位	1.Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China 2.Nankai Univ, LPMC TJKLC, Tianjin 300071, Peoples R China 3.Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China 4.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 5.CNRS, F-91405 Orsay, France 6.Univ Paris 11, LRI, F-91405 Orsay, France 7.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Li, Hao,Tian, Feng,Xu, Zhi Xia. Hamiltonicity of 4-connected graphs[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2010,26(4):699-710.
APA	Li, Hao,Tian, Feng,&Xu, Zhi Xia.(2010).Hamiltonicity of 4-connected graphs.ACTA MATHEMATICA SINICA-ENGLISH SERIES,26(4),699-710.
MLA	Li, Hao,et al."Hamiltonicity of 4-connected graphs".ACTA MATHEMATICA SINICA-ENGLISH SERIES 26.4(2010):699-710.