Total Eccentric Domination Number of Some Special Types of Graphs


J. John Flavia
PG and Research Department of Mathematics, Kalaignar Karunanidhi Government Arts College for Women (Autonomous), Pudukkottai


A set S Í V(G) is a total eccentric dominating set if S is an eccentric dominating set and also <S> has no isolated vertices. The minimum cardinality of the total eccentric dominating set is called the total eccentric domination number and is denoted by gted(G). In mathematics, one always tries to attained new structure from given ones. In this article, the total eccentric domination number of some special types of graphs is found.

October 19, 2023