Double-toroidal and triple-toroidal commuting graph-Reference-Cited by-同舟云学术

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Double-toroidal and triple-toroidal commuting graph

Published:2024-06-27 Issue:3 Volume:53 Page:735-747
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:
Short-container-title:

Author:

Nongsiang Deiborlang¹^ORCID

Affiliation:

1. Union Christian College, Meghalaya, India

Abstract

In this paper, all finite non-abelian groups whose commuting graphs can be embed on the double-torus or triple-torus are classified.

Publisher

Hacettepe University

Reference15 articles.

1. [1] A. Abdollahi, S. Akbari and H. R. Maimani, Non-commuting graph of a group, J. Algebra 298(2), 468–492, 2006.

2. [2] M. Afkhami, M. Farrokhi, K. Khashyarmanesh, Planar, toroidal and projective commuting and non-commuting graphs, Commun. Algebra 43(7), 2964–2970, 2015.

3. [3] S. Akbari, M. Ghandehari, M. Hadian and A. Mohammadian, On commuting graphs of semisimple rings, Linear Algebra Appl. 390, 345–355, 2004.

4. [4] S. Akbari, A. Mohammadian, H. Radjavi and P. Raja, On the diameters of commuting graphs, Linear Algebra Appl. 418(1), 161–176, 2006.

5. [5] C. Bates, D. Bundy, S. Hart and P. Rowley, A Note on Commuting Graphs for Symmetric Groups, Electron. J. Comb. 16(1), 1–13, 2009.

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1. A survey on conjugacy class graphs of groups;Expositiones Mathematicae;2024-07

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