中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Total domination and least domination in a tree

文献类型:期刊论文

作者Lv, XZ; Mao, JZ
刊名DISCRETE MATHEMATICS
出版日期2003-04-06
卷号265期号:1-3页码:401-404
关键词total dominating set least dominating set middle vertex
ISSN号0012-365X
DOI10.1016/S0012-365X(02)00883-X
英文摘要The total domination number gamma(t) of a graph G = (V, E) is the minimum cardinality of a dominating set D of G such that every vertex of V has at least one neighbor in D. The least domination number gamma(L) of G is the minimum cardinality of a dominating set X of G whose domination number is the minimum. In this paper, we prove the following conjecture due to Odile Favaron: Conjecture. For any tree T, we have gamma(L)(T)/gamma(t)(T) less than or equal to 3/2. (C) 2003 Elsevier Science B.V. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000182146000030
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/18619]  
专题中国科学院数学与系统科学研究院
通讯作者Lv, XZ
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China
推荐引用方式
GB/T 7714
Lv, XZ,Mao, JZ. Total domination and least domination in a tree[J]. DISCRETE MATHEMATICS,2003,265(1-3):401-404.
APA Lv, XZ,&Mao, JZ.(2003).Total domination and least domination in a tree.DISCRETE MATHEMATICS,265(1-3),401-404.
MLA Lv, XZ,et al."Total domination and least domination in a tree".DISCRETE MATHEMATICS 265.1-3(2003):401-404.

入库方式: OAI收割

来源:数学与系统科学研究院

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