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Some properties of 3-domination-critical graphs
Flandrin, E; Tian, F; Wei, B; Zhang, L
1999-07-28
Source PublicationDISCRETE MATHEMATICS
ISSN0012-365X
Volume205Issue:1-3Pages:65-76
AbstractA graph G is 3-gamma-critical if its domination number gamma is 3 and the addition of any edge decreases gamma by 1. Wojcicka conjectured that every 3-gamma-critical graph with minimum degree delta greater than or equal to 2 has a hamiltonian cycle. in this paper, we prove that if G is a 3-gamma-critical connected graph of order n with minimum degree delta greater than or equal to 2, then (1) G is 1-tough; (2) the circumference of G is at least n - 1. (C) 1999 Elsevier Science B.V. All rights reserved.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000081625300006
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:24[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14613
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Paris 11, CNRS, URA 410, LRI, F-91405 Orsay, France
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Flandrin, E,Tian, F,Wei, B,et al. Some properties of 3-domination-critical graphs[J]. DISCRETE MATHEMATICS,1999,205(1-3):65-76.
APA Flandrin, E,Tian, F,Wei, B,&Zhang, L.(1999).Some properties of 3-domination-critical graphs.DISCRETE MATHEMATICS,205(1-3),65-76.
MLA Flandrin, E,et al."Some properties of 3-domination-critical graphs".DISCRETE MATHEMATICS 205.1-3(1999):65-76.
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