Abstract

For molecular graph $G$, the first multiplicative Zagreb index is defined as the product of squares of degree of all vertices of graph and the second multiplicative Zagreb index is defined as $\prod_2(G) =\prod\limits_{u\in V(G)} d_G(u)^{d_G(u)}$. In this paper, we obtain first and second multiplicative Zagreb indices of four new $\mathcal{F}$-Sums of graphs.

Keywords and Phrases

F-sums of graphs, multiplicative Zagreb indices, graph indices.

A.M.S. subject classification

05C07, 05C76, 92E10.

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