Title
Domination parameters of a graph and its complement.
Abstract
A dominating set in a graph G is a set S of vertices such that every vertex in V(G) \ S is adjacent to at least one vertex in S, and the domination number of G is the minimum cardinality of a dominating set of G. Placing constraints on a dominating set yields different domination parameters, including total, connected, restrained, and clique domination numbers. In this paper, we study relationships among domination parameters of a graph and its complement.
Year
DOI
Venue
2018
10.7151/dmgt.2002
DISCUSSIONES MATHEMATICAE GRAPH THEORY
Keywords
Field
DocType
domination,complement,total domination,connected domination,clique domination,restrained domination
Connected domination,Graph,Discrete mathematics,Comparability graph,Combinatorics,Graph property,Simplex graph,Null graph,Factor-critical graph,Mathematics
Journal
Volume
Issue
ISSN
38
1
1234-3099
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Wyatt J. Desormeaux1448.26
Teresa W. Haynes277494.22
Michael A. Henning31865246.94