On (1, 2) - Domination of Certain Graphs

Autor: D. Florence Isido
Rok vydání: 2021
Předmět:
Zdroj: International Journal for Research in Applied Science and Engineering Technology. 9:103-106
ISSN: 2321-9653
Popis: A vertex subset S of a graph G = (V,E) is called a (1,2)-dominating set if S is having the property that for every vertex v in V- S there is atleast one vertex in S of distance 1 from v and a vertex in S at a distance atmost 2 from v. The minimum cardinality of a (1, 2)-dominating set of G, denoted by ϒ (1, 2)(G), is called the (1, 2)-domination number of G. In this paper we discuss about the (1, 2)-dominating set of Shell graph C(n,n-3,), Jewel graph Jn and Comb graph Pn ʘ K1.
Databáze: OpenAIRE