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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access February 5, 2016

On some characterizations of strong power graphs of finite groups

  • A. K. Bhuniya and Sudip Bera
From the journal Special Matrices


Let G be a finite group of order n. The strong power graph Ps(G) of G is the undirected graph whose vertices are the elements of G such that two distinct vertices a and b are adjacent if am1=bm2 for some positive integers m1, m2 < n. In this article we classify all groups G for which Ps(G) is a line graph. Spectrum and permanent of the Laplacian matrix of the strong power graph Ps(G) are found for any finite group G.


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Received: 2015-8-21
Accepted: 2015-1-22
Published Online: 2016-2-5

©2016 A. K. Bhuniya and Sudip Bera

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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