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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Miriam Rodriguez
Facultad de Matemáticas, Universidad Veracruzana, Paseo 122, Sección 2 S/N; Col. Nuevo Xalapa; Xalapa, Ver., México, CP 91097.
Electrical & Electronics Engineering

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The rainbow connection number of the enhanced power graph of a finite group Luis A. Dupont; Daniel G. Mendoza; Miriam Rodriguez
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2023.11.1.19

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.
Co-Authors Daniel G. Mendoza Luis A. Dupont