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arXiv · 1805.11270

On the Hyper Zagreb index of certain generalized thorn graphs

Chidambaram Natarajan·Selvaraj Balachandran·SK Ayyaswamy
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Abstract

Let $G=(V,E)$ be a graph with $n$ vertices and $m$ edges. The hyper Zagreb index of $G$, denoted by $HM(G)$, is defined as $HM(G) =\sum\limits_{uv \in E(G)}\left[d_{G}(u)+d_G(v)\right]^{2}$ where $d_G(v)$ denotes the degree of a vertex $v$ in $G$. In this paper we compute the hyper Zagreb index of certain generalized thorn graphs.

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Chidambaram Natarajan, Selvaraj Balachandran, SK Ayyaswamy. 2018-05-29. On the Hyper Zagreb index of certain generalized thorn graphs. https://arxiv.org/abs/1805.11270

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