KMS Of Academy of mathematics and systems sciences, CAS
A new proof of Wojcicka's conjecture | |
Chen, YJ; Tian, F | |
2003-05-01 | |
Source Publication | DISCRETE APPLIED MATHEMATICS |
ISSN | 0166-218X |
Volume | 127Issue:3Pages:545-554 |
Abstract | A graph G is 3-domination-critical if its domination number gamma is 3 and the addition of any edge decreases gamma by 1. Wojcicka conjectured that every 3-domination-critical graph with delta greater than or equal to 2 has a hamiltonian cycle (J. Graph Theory 14 (1990) 205-215). The conjecture had been proved and its proof consists of two parts: the case alpha less than or equal to delta + I (J. Graph Theory 25 (1997) 173-184) and the case alpha = delta + 2 (Discrete Appl. Math. 92 (1999) 57-70). In this paper, we give a new and simple proof of the conjecture by using Hanson's (J. Combin. Math. Combin. Comput. 13 (1993) 121-128) and Bondy-Chvatal's (Discrete Math. 15(1976) 111-135) closure operations. (C) 2002 Elsevier Science B.V. All rights reserved. |
Keyword | domination-critical graph closure operation Hamiltonian cycle |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000182966600011 |
Publisher | ELSEVIER SCIENCE BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18404 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Chen, YJ |
Affiliation | 1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Chen, YJ,Tian, F. A new proof of Wojcicka's conjecture[J]. DISCRETE APPLIED MATHEMATICS,2003,127(3):545-554. |
APA | Chen, YJ,&Tian, F.(2003).A new proof of Wojcicka's conjecture.DISCRETE APPLIED MATHEMATICS,127(3),545-554. |
MLA | Chen, YJ,et al."A new proof of Wojcicka's conjecture".DISCRETE APPLIED MATHEMATICS 127.3(2003):545-554. |
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