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arXiv · 2206.01059

Recognizing the Commuting Graph of a Finite Group

V. Arvind·Peter. J. Cameron
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Abstract

In this paper we study the realizability question for commuting graphs of finite groups: Given an undirected graph $X$ is it the commuting graph of a group $G$? And if so, to determine such a group. We seek efficient algorithms for this problem. We make some general observations on this problem, and obtain a polynomial-time algorithm for the case of extraspecial groups.

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V. Arvind, Peter. J. Cameron. 2022-06-02. Recognizing the Commuting Graph of a Finite Group. https://arxiv.org/abs/2206.01059

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