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Pancyclicity in the Cartesian Product (K9-C9 )n

2022/06/15 by Afiya, Syeda, Rajesh, M
#05C38 #05C45 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2

paper · doi:10.48550/arxiv.2206.07381

Abstract

A graph G on m vertices is pancyclic if it contains cycles of length l, 3≤ l ≤ m as subgraphs in G. The complete graph K9 on 9 vertices with a cycle C9 of length 9 deleted from K9 is denoted by (K9-C9). In this paper, we prove that (K9-C9)n, the Cartesian product of (K9-C9) taken n times, is pancyclic.

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