LOCATION ECCENTRIC DOMINATING SET IN SIMPLE GRAPHS

LOCATION ECCENTRIC DOMINATING SET IN SIMPLE GRAPHS

R. Jahir Hussain, A. Fathima Begam

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Abstract

In this paper we define location eccentric dominating set, location eccentric domination number. The location eccentric dominating set with minimum cardinality is defined as referencing eccentric dominating set that is RED-set and its cardinality is known as location eccentric domination number RED(G). Also, we have found location eccentric domination number RED(G) of simple complete graphs, bipartite graphs, star graphs and also for the path.

Keywords

location eccentric dominating set, location eccentric domination number, referencing eccentric dominating set.