The Minimum Superior Eccentric Dominating Energy of Graphs
R. Tejaskumar *
Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.
A. Mohamed Ismayil
Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
For a graph G = (V, E) of order K2 the minimum superior eccentric dominating energy SEed(G) is the sum of the eigen values obtained from the minimum superior eccentric dominating K x K matrix Ased (G) = (Seij) In this paper SEed(G) of standard graphs are computed. Properties, upper and lower bounds for SEed(G) are established.
Keywords: Superior eccentricity, superior eccentric vertex, minimum superior eccentric dominating set, superior eccentric dominating eigen values, minimum superior eccentric dominating energy