TITLE:
A Study on the Inj-Equitable Graph of a Graph
AUTHORS:
Hanaa Alashwali, Ahmad N. Alkenani, A. Saleh, Najat Muthana
KEYWORDS:
Domination, Injective Equitable Graph, Equitable Matrix, Injective Matrix
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.3,
March
29,
2018
ABSTRACT: For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , is
the graph with the same vertices as G and for any two adjacent vertices u and v in IE (G), ≤ 1, where for any vertex w∈V (G) ,
degin (w)= . In this paper, Inj-equitable graphs
of some graphs are obtained, and some properties and results are established.
Moreover, complete Inj-equitable graph and the Inj-equitable graph are
defined.