Perfect codes in some products of graphs

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...

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Main Authors: Bakaein, Samane; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad (Author), Tavakoli, Mostafa; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad (Author), Rahbarnia, Freydoon; Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad (Author)
Format: EJournal Article
Izdano: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2021-04-15.
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