KMS Of Academy of mathematics and systems sciences, CAS
Hamiltonicity in 2-connected graphs with claws | |
Li, H; Lu, M; Sun, ZR | |
1998-03-15 | |
Source Publication | DISCRETE MATHEMATICS |
ISSN | 0012-365X |
Volume | 183Issue:1-3Pages:223-236 |
Abstract | Matthews and Sumner have proved in [12] that if G is a 2-connected claw-free graph of order n such that delta greater than or equal to(n - 2)/3, then G is hamiltonian. Li has shown that the bound for the minimum degree delta can be reduced to n/4 under the additional condition that G is not in Pi, where Pi is a class of graphs defined in [7]. On the other hand, we say that a graph G is almost claw-free if the centres of induced claws are independent and their neighbourhoods are 2-dominated. Broersma, Ryjacek and Schiermeyer have proved that if G is 2-connected almost claw-free graph of order n such that delta greater than or equal to(n - 2)/3, then G is hamiltonian. We generalize these results by considering the graphs whose claw centres are independent. If G is a 2-connected graph of order n and minimum degree delta such that n less than or equal to 4 delta - 3 and if the set of claw centres of G is independent, then we show that either G is hamiltonian or G is an element of F, where F is a class of graphs defined in the paper. The bound n less than or equal to delta - 3 is sharp. |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000072010300016 |
Publisher | ELSEVIER SCIENCE BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13749 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.Univ Paris Sud, URA 410 CNRS, LRI, F-91405 Orsay, France 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.Nanjing Normal Univ, Dept Math, Nanjing 210024, Peoples R China |
Recommended Citation GB/T 7714 | Li, H,Lu, M,Sun, ZR. Hamiltonicity in 2-connected graphs with claws[J]. DISCRETE MATHEMATICS,1998,183(1-3):223-236. |
APA | Li, H,Lu, M,&Sun, ZR.(1998).Hamiltonicity in 2-connected graphs with claws.DISCRETE MATHEMATICS,183(1-3),223-236. |
MLA | Li, H,et al."Hamiltonicity in 2-connected graphs with claws".DISCRETE MATHEMATICS 183.1-3(1998):223-236. |
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