On distance spectra of power graphs of finite groups

Mudasir A. Wani; A. K. Shrivastav

doi:https://doi.org/10.14445/22315373/IJMTT-V66I7P520

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 7 | Year 2020 | Article Id. IJMTT-V66I7P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I7P520

On distance spectra of power graphs of finite groups

Mudasir A. Wani,A. K. Shrivastav

Abstract

For a finite group G, the power graph P(G) is a simple connected graph having vertex set as the set of elements of finite group G, where two distinct vertices are adjacent if and only if one is a power of the other. In this paper, we obtain the distance spectrum power graphs of finite groups such as cyclic groups, dihedral groups, dicyclic groups, abelian groups, elementary abelian p groups and other non abelian groups.

Keywords

Distance matrix, distance spectra, nite groups, power graphs

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Citation :

Mudasir A. Wani,A. K. Shrivastav, "On distance spectra of power graphs of finite groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 7, pp. 150-160, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I7P520