Decomposition of hypercube graphs into paths and cycles of length four

Decomposition of hypercube graphs into paths and cycles of length four

Blog Article

By a [Formula: see text]-decomposition of a graph G, we mean a partition of the edge read more set of G into p paths of length 4 and q cycles of length 4.In this paper, we give conditions for a [Formula: see text]-decomposition of the n-dimensional hypercube graph Qn for all possible values of p and q.In particular, we Latest Product Releases & Innovations – Stay Updated! find the necessary and sufficient conditions for such decomposition in Qn when n is even, [Formula: see text] and n is odd, [Formula: see text].