Edge domination in various snake graphs

S K Vaidya, R M Pandit

Abstract


A subset of the edge set of G is an edge dominating set if each edge in E(G) is either in F or is adjacent to an edge in F. An edge dominating set F is called a minimal edge dominating set if no proper subset of F is an edge dominating set. The edge domination number is the minimum cardinality among all minimal edge dominating sets. We investigate the edge domination number of some graphs called snakes which are obtained from path Pn by replacing its edges by cycles C3 and C4.

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References


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