Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications

The rainbow connection number of the enhanced power graph of a finite group

Luis A. Dupont (Facultad de Matemáticas, Universidad Veracruzana, Paseo 122, Sección 2 S/N
Col. Nuevo Xalapa
Xalapa, Ver., México, CP 91097.)
Daniel G. Mendoza (Facultad de Matemáticas, Universidad Veracruzana, Paseo 122, Sección 2 S/N
Col. Nuevo Xalapa
Xalapa, Ver., México, CP 91097.)
Miriam Rodriguez (Facultad de Matemáticas, Universidad Veracruzana, Paseo 122, Sección 2 S/N
Col. Nuevo Xalapa
Xalapa, Ver., México, CP 91097.)

Article Info

Publish Date
08 Apr 2023

Abstract

Let G be a finite group. The enhanced power graph ΓGe of G is the graph with vertex set G and two distinct vertices are adjacent if they generate a cyclic subgroup of G. In this article, we calculate the rainbow connection number of ΓGe.

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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...