KMS Of Academy of mathematics and systems sciences, CAS
Hamiltonicity in 3-domination-critical graphs with alpha=delta+2 | |
Tian, F; Wei, B; Zhang, L | |
1999-03-15 | |
Source Publication | DISCRETE APPLIED MATHEMATICS |
ISSN | 0166-218X |
Volume | 92Issue:1Pages:57-70 |
Abstract | Let delta, gamma, and alpha be respectively the minimum degree, the domination number and the independence number of a graph G. The graph G is 3-gamma-critical if gamma=3 and the addition of any edge decreases gamma by 1. It was conjectured that any connected 3-gamma-critical graph with delta greater than or equal to 2 is hamiltonian. In Fararon et al. (J. Graph Theory, 25 (1997) 173-184.) it was proved alpha less than or equal to delta + 2; and moreover, if alpha less than or equal to delta + 1, then G is hamiltonian. Here we show that if alpha=delta + 2 then G is hamiltonian, and thus prove the conjecture. We also give a class of 3-gamma-critical graphs with alpha=delta + 2. (C) 1999 Elsevier Science B.V. All rights reserved. |
Keyword | domination-critical graphs Hamiltonicity longest cycle |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000079426100003 |
Publisher | ELSEVIER SCIENCE BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/14487 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Tian, F,Wei, B,Zhang, L. Hamiltonicity in 3-domination-critical graphs with alpha=delta+2[J]. DISCRETE APPLIED MATHEMATICS,1999,92(1):57-70. |
APA | Tian, F,Wei, B,&Zhang, L.(1999).Hamiltonicity in 3-domination-critical graphs with alpha=delta+2.DISCRETE APPLIED MATHEMATICS,92(1),57-70. |
MLA | Tian, F,et al."Hamiltonicity in 3-domination-critical graphs with alpha=delta+2".DISCRETE APPLIED MATHEMATICS 92.1(1999):57-70. |
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