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 AM  Vol.9 No.3 , March 2018
A Study on the Inj-Equitable Graph of a Graph
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 wV (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.
Cite this paper: Alashwali, H. , Alkenani, A. , Saleh, A. and Muthana, N. (2018) A Study on the Inj-Equitable Graph of a Graph. Applied Mathematics, 9, 264-273. doi: 10.4236/am.2018.93020.
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