%0 Journal Article
%T Cyclic Edge Extensions Self-centered Graphs
%A Huilgol, Medha Itagi
%A Ramprakash, Chitra
%J Journal of Mathematics and Computer Science
%D 2014
%V 10
%N 2
%@ ISSN 2008-949X
%F Huilgol2014
%X The eccentricity e(u) of a vertex u is the maximum distance of u to any other vertex of G. The maximum and the minimum eccentricity among the vertices of a graph G are known as the diameter and the radius of G respectively. If they are equal then the graph is said to be a self - centered graph. Edge addition /extension to a graph either retains or changes the parameter of a graph, under consideration. In this paper mainly, we consider edge extension for cycles, with respect to the self-centeredness(of cycles),that is, after an edge set is added to a self centered graph the resultant graph is also a self-centered graph. Also, we have other structural results for graphs with edge -extensions.
%9 journal article
%R 10.22436/jmcs.010.02.06
%U http://dx.doi.org/10.22436/jmcs.010.02.06
%P 131-137