Superior Eccentric Domination in some Quadrilateral Snake Graphs

M. Bhanumathi, R. Meenal Abirami · Journal of Emerging Technologies and Innovative Research · 2019

In 2017 we define superior eccentric domination in graphs. A superior dominating set S of vertices of G is called a superior eccentric dominating set if every vertex of V (G)  S has some superior eccentric vertex in S. A superior eccentric dominating set of G of minimum cardinality is a minimum superior eccentric dominating set and its cardinality is called the superior eccentric domination number and is denoted by sed(G). In this paper we initiate the study of superior eccentric dominating sets in quadrilateral snake graphs, alternate quadrilateral snake graphs, double quadrilateral snake graphs and double alternate quadrilateral snake graphs

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