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A Study on the Inj-Equitable Graph of a Graph

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Document pages: 10 pages

Abstract: For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , isthe 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 graphsof some graphs are obtained, and some properties and results are established.Moreover, complete Inj-equitable graph and the Inj-equitable graph aredefined.

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