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arXiv · 2304.02230

Zagreb indices of commuting and non-commuting graphs of finite groups and Hansen-Vuki\v{c}evi\'c conjecture

Shrabani Das·Arpita Sarkhel·Rajat Kanti Nath
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Abstract

In this paper we compute first and second Zagreb indices of commuting and non-commuting graphs of finite groups and determine several classes of finite groups such that their commuting and non-commuting graphs satisfy Hansen-Vuki\v{c}evi\'c conjecture.

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Shrabani Das, Arpita Sarkhel, Rajat Kanti Nath. 2023-04-05. Zagreb indices of commuting and non-commuting graphs of finite groups and Hansen-Vuki\v{c}evi\'c conjecture. https://arxiv.org/abs/2304.02230

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