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Lower bounds on the minus domination and k-subdomination numbers
Kang, Li Ying; Qiao, Hong; Shan, Er Fang; Du, Ding Zhu
Source PublicationTHEORETICAL COMPUTER SCIENCE
2003-03
Volume296Issue:1Pages:89-98
Abstract
; A three-valued function f defined on the vertex set of a graph G = (V, E), f : V --> {-1, 0,1} is a minus dominating function if the sum of its function values over any closed neighborhood is at least one. That is, for every nu is an element of V, f(N[nu]) greater than or equal to 1, where N[nu] consists of nu and all vertices adjacent to nu. The weight of a minus function is f(V) = Sigma(nuis an element ofV) f(nu). The minus domination number of a graph G, denoted by gamma(-)(G), equals the minimum weight of a minus dominating function of G. In this paper, sharp lower bounds on minus domination of a bipartite graph are given. Thus, we prove a conjecture proposed by Dunbar et al. (Discrete Math.. 199 (1999) 35), and we give a lower bound on gamma(ks)(G) of a graph G. (C) 2002 Elsevier Science B.V. All rights reserved.
KeywordDomination Number Minus Domination K-subdomination
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/12594
Collection09年以前成果
Corresponding AuthorKang, Li Ying
AffiliationShanghai Univ, Dept Math
Recommended Citation
GB/T 7714
Kang, Li Ying,Qiao, Hong,Shan, Er Fang,et al. Lower bounds on the minus domination and k-subdomination numbers[J]. THEORETICAL COMPUTER SCIENCE,2003,296(1):89-98.
APA Kang, Li Ying,Qiao, Hong,Shan, Er Fang,&Du, Ding Zhu.(2003).Lower bounds on the minus domination and k-subdomination numbers.THEORETICAL COMPUTER SCIENCE,296(1),89-98.
MLA Kang, Li Ying,et al."Lower bounds on the minus domination and k-subdomination numbers".THEORETICAL COMPUTER SCIENCE 296.1(2003):89-98.
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