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A [k, k+1]-factor containing given Hamiltonian cycle
Cai, MC; Li, YJ; Kano, M
1998-09-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume41Issue:9Pages:933-938
AbstractLet k greater than or equal to 2 be an integer and let G be a graph of order n with minimum degree at least k; n greater than or equal to 8 k - 16 for even n and n greater than or equal to 6k - 13 for odd n. If the degree sum of each pair of nonadjacent vertices of G is at least n, then for any given Hamiltonian cycle C, G has a [k, k + 1]-factor containing C.
Keywordgraph connected factor Hamiltonian cycle
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000076532600005
PublisherSCIENCE PRESS
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13338
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Ibaraki Univ, Dept Comp & Informat Sci, Hitachi, Ibaraki 316, Japan
Recommended Citation
GB/T 7714
Cai, MC,Li, YJ,Kano, M. A [k, k+1]-factor containing given Hamiltonian cycle[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(9):933-938.
APA Cai, MC,Li, YJ,&Kano, M.(1998).A [k, k+1]-factor containing given Hamiltonian cycle.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(9),933-938.
MLA Cai, MC,et al."A [k, k+1]-factor containing given Hamiltonian cycle".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.9(1998):933-938.
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