TWIN DOMINATION AND TWIN IRREDUNDANCE IN DIGRAPHS

被引:8
作者
Arumugam, S. [1 ]
Ebadi, Karam [1 ]
Sathikala, L. [1 ]
机构
[1] Kalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Krishnankoil 626126, Tamil Nadu, India
关键词
Directed graph; twin dominating set; twin irredundant set; twin domination number; twin irredundance number; GRAPH;
D O I
10.2298/AADM130429007A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let D = (V, A) be a digraph. A subset S of V is called a twin dominating set of D if for every vertex v is an element of V - S, there exist vertices u(1), u(2) is an element of S (u(1) and u(2) may coincide) such that (v, u(1)) and (u(2), v) are arcs in D. The minimum cardinality of a twin dominating set in D is called the twin domination number of D and is denoted by gamma* (D). In this paper we present several basic results on these and other related parameters.
引用
收藏
页码:275 / 284
页数:10
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