A simple approach to order the multiplicative Zagreb indices of connected graphs

The first ($Pi_1$) and the second $(Pi_2$) multiplicative Zagreb indices of a connected graph $G$, with vertex set $V(G)$ and edge set $E(G)$, are defined as $Pi_1(G) = prod_{u in V(G)} {d_u}^2$ and $Pi_2(G) = prod_{uv in E(G)} {d_u}d_{v}$, respectively, where ${d_u}$ denotes the degree of the verte...

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Bibliographic Details
Main Author: Mehdi Eliasi
Format: Article
Language:English
Published: University of Isfahan 2012-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/?_action=showPDF&article=2146&_ob=61a92ef69e13895fcd946bfe86a93cd7&fileName=full_text.pdf.