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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Samane Bakaein
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad
Electrical & Electronics Engineering

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Perfect codes in some products of graphs Samane Bakaein; Mostafa Tavakoli; Freydoon Rahbarnia
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 9, No 1 (2021): 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.2021.9.1.15

Abstract

A r-perfect code in a graph G = (V(G),E(G)) is a subset C of V(G) for which the balls of radius r centered at the vertices of C form a partition of V(G). In this paper, we study the existence of perfect codes in corona product and generalized hierarchical product of graphs where the cardinality of U is equal to one or two. Also, we give some examples as applications of our results.
Co-Authors Freydoon Rahbarnia Mostafa Tavakoli