On the Connectivity of Enhanced Power Graphs of Finite Groups

Bera, S and Dey, HK and Mukherjee, SK (2021) On the Connectivity of Enhanced Power Graphs of Finite Groups. In: Graphs and Combinatorics, 37 . pp. 591-603.

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Abstract

This paper deals with the vertex connectivity of enhanced power graphs of finite groups. We classify all abelian groups G such that the vertex connectivity of enhanced power graph of G is 1. We derive an upper bound for the vertex connectivity of the enhanced power graph of any general abelian group G. Also we completely characterize all abelian groups G, such that the proper enhanced power graph is connected. Moreover, we study some special class of non-abelian groups G such that the proper enhanced power graph is connected and we find their vertex connectivity. © 2021, The Author(s), under exclusive licence to Springer Japan KK part of Springer Nature.

Item Type:	Journal Article
Publication:	Graphs and Combinatorics
Publisher:	Springer Japan
Additional Information:	The copyright for this article belongs to Springer
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Dec 2021 04:47
Last Modified:	30 Dec 2021 04:47
URI:	http://eprints.iisc.ac.in/id/eprint/67694

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