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Alwardi, A., Arsic, B., Gutman, I. and Soner, N.D. (2012) The Common Neighborhood Graph and Its Energy. Iranian Journal of Mathematical Sciences and Informatics, 7, 1-8.

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• 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.