On the First Zagreb Index of Neighborhood Corona Graphs
The first Zagreb index is defined as the sum of squares of the degrees of vertices in a graph. The neighborhood corona, G*H, of two graphs is defined as the graph obtained by taking one copy of G and |V(G)| copies of H and for each i, making all vertices in the ith copy of H adjacent with the neighbors of vi , i = 1, 2, ..., |V(G)|. In this paper, the first Zagreb index of neighborhood corona graphs is computed, and exact formulas are derived.
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Document Type: Research Article
Publication date: 2014-12-01
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