A new proof of Wojcicka's conjecture

CSpace

	A new proof of Wojcicka's conjecture
	Chen, YJ ; Tian, F
	2003-05-01
发表期刊	DISCRETE APPLIED MATHEMATICS
ISSN	0166-218X
卷号	127 期号:3 页码:545-554
摘要	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.
关键词	domination-critical graph closure operation Hamiltonian cycle
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000182966600011
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18404
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, YJ
作者单位	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
推荐引用方式 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.