Bandwagon Distance and Bandwagon Eccentric Domination in Graphs
Tejaskumar R. *
P.G and Research Department of Mathematics, Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.
A. Mohamed Ismayil
P.G and Research Department of Mathematics, Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this article, bandwagon distance is introduced and various parameters of bandwagon distance like bandwagon eccentricity, bandwagon eccentric vertex, bandwagon radius, bandwagon diameter, bandwagon center, bandwagon periphery are defined. Bounds on bandwagon radius and bandwagon diameter for class of graphs are found. Bandwagon eccentric domination is defined along with bandwagon eccentric domination number . Necessary and sufficient condition for bandwagon eccentric dominating set is proved. Results related to exact values of bandwagon eccentric domination number of class of graphs is obtained.
Keywords: Elected neighbour, bandwagon distance, bandwagon eccentricity, bandwagon eccentric domination