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Recent developments on the power graph of finite groups – a survey

Published:2021-05-04 Issue:2 Volume:18 Page:65-94
ISSN:0972-8600
Container-title:AKCE International Journal of Graphs and Combinatorics
language:en
Short-container-title:AKCE International Journal of Graphs and Combinatorics

Author:

Kumar Ajay¹^ORCID,Selvaganesh Lavanya¹^ORCID,Cameron Peter J.²^ORCID,Chelvam T. Tamizh³^ORCID

Affiliation:

1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

2. School of Mathematics and Statistics, University of St Andrews, Fife, UK

3. Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli, Tamil Nadu, India

Publisher

Informa UK Limited

Subject

Discrete Mathematics and Combinatorics

Link

https://www.tandfonline.com/doi/pdf/10.1080/09728600.2021.1953359

Reference82 articles.

1. On the Structure of the Power Graph and the Enhanced Power Graph of a Group

2. Power graphs: A survey

3. Some results on the power graphs of finite groups

4. Sums of Element Orders in Finite Groups

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1. Some new results concerning power graphs and enhanced power graphs of groups;Discrete Applied Mathematics;2024-11

2. On the difference of the enhanced power graph and the power graph of a finite group;Journal of Combinatorial Theory, Series A;2024-11

3. Genus and crosscap of normal subgroup based power graphs of finite groups;Ricerche di Matematica;2024-08-07

4. Line graph characterization of the order supergraph of a finite group;COMMUN COMB OPTIM;2024

5. Algebraic Connectivity of Power Graphs of Finite Cyclic Groups;Mathematics;2024-07-11

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