Domination in Cayley graphs: A survey. Issue 1 (1st April 2019)

• Record Type: Journal Article
• Authors: Tamizh Chelvam, T.; Sivagami, M.
• Is Part Of: AKCE International Journal of Graphs and Combinatorics. Volume 16:Issue 1(2019)
• Page Start: 27
• Page End: 40
• Publication Date: 2019-04-01
• Subjects: Cayley graph -- Unitary Cayley graph -- Dominating sets -- Efficient dominating sets -- E-Chain
• DOI: 10.1016/j.akcej.2017.11.005
• Languages: English
• ISSNs: 0972-8600

Abstract

Abstract: Let be a symmetric generating set of a finite group . Assume that be such that and satisfies the two conditions : the identity element and : if, then Given satisfying and define a Cayley graph with and . When, it is called as circulant graph and denoted by . In this paper, we give a survey about the results on dominating sets in Cayley graphs and circulant graphs.