New Results on Zagreb Energy of Graphs

Let G be a graph with vertex set V(G) � v1, . . . , vn 􏼈 􏼉, and let di be the degree of vi. (e Zagreb matrix of G is the square matrix of order n whose (i, j)-entry is equal to di + dj if the vertices vi and vj are adjacent, and zero otherwise. (e Zagreb energy ZE(G) of G is the sum of the absolute values of the eigenvalues of the Zagreb matrix. In this paper, we determine some classes of Zagreb hyperenergetic, Zagreb borderenergetic, and Zagreb equienergetic graphs.

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