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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 2, Pages 18–26
(Mi basm422)
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This article is cited in 1 scientific paper (total in 1 paper)
The multiplicative Zagreb co-indices on two graph operators
Mansoureh Deldar, Mehdi Alaeiyan Department of Mathematics, Karaj Branch, Islamic Azad University
Karaj, Iran
Abstract:
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.
Keywords and phrases:
multiplicative Zagreb co-indices, subdivision graph, Zagreb indices.
Received: 24.12.2014
Citation:
Mansoureh Deldar, Mehdi Alaeiyan, “The multiplicative Zagreb co-indices on two graph operators”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2, 18–26
Linking options:
https://www.mathnet.ru/eng/basm422 https://www.mathnet.ru/eng/basm/y2016/i2/p18
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