Hamiltonicity in 3-domination-critical graphs with alpha=delta+2
文献类型：期刊论文
| 作者 | Tian, F; Wei, B; Zhang, L |
| 刊名 | DISCRETE APPLIED MATHEMATICS
 |
| 出版日期 | 1999-03-15 |
| 卷号 | 92期号:1页码:57-70 |
| 关键词 | domination-critical graphs Hamiltonicity longest cycle |
| ISSN号 | 0166-218X |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079426100003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14486]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tian, F |
| 作者单位 | Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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