A Study on Exact Deg-Centric Graphs of Graphs
Abstract
The exact deg-centric graph of a simple, connected graph G, denoted by Ged, is a graph constructed from G such that V(Ged)=V(G) and E(Ged)={vivj:dG(vi,vj)=degG(vi)}. In this paper, the concepts of exact deg-centric graphs and iterated exact deg-centrication of a graph are introduced and discussed.