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2. Decomposition of hypercube graphs into paths and cycles of length four

Author

Saranya, D. and Jeevadoss, S.

Abstract

AbstractBy a -decomposition of a graph G, we mean a partition of the edge set of Ginto ppaths of length 4 and qcycles of length 4. In this paper, we give conditions for a -decomposition of the n-dimensional hypercube graph Qnfor all possible values of pand q. In particular, we find the necessary and sufficient conditions for such decomposition in Qnwhen nis even, and nis odd,

Published
2022
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