The multiplicative Zagreb co-indices on two graph operators
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 18-26

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Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$. The first and second multiplicative Zagreb co-indices are defined as: $$\overline\prod_1(G)=\prod_{uv\notin E(G)}[d_G(u)+d_G(v)],\quad\overline\prod_2(G)=\prod_{uv\notin E(G)}[d_G(u)d_G(v)], $$ respectively, where $d_G(u)$ is the degree of the vertex $u$ of $G$. The aim of this paper is to investigate the multiplicative Zagreb co-indices of the subdivision graphs of tadpole graphs and wheel graphs.
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Mansoureh Deldar; Mehdi Alaeiyan. The multiplicative Zagreb co-indices on two graph operators. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 18-26. http://geodesic.mathdoc.fr/item/BASM_2016_2_a1/