C7-Decompositions of the Tensor Product of Complete Graphs

In this paper we consider a decomposition of Km × Kn, where × denotes the tensor product of graphs, into cycles of length seven. We prove that for m, n ≥ 3, cycles of length seven decompose the graph Km × Kn if and only if (1) either m or n is odd and (2) 14 | m(m − 1)n(n − 1). The results of this p...

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Bibliographic Details
Main Authors: Manikandan R.S., Paulraja P.
Format: Article
Language:English
Published: University of Zielona Góra 2017-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1936