The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On the union of two generalized manifolds”

Decomposition of Complete Bipartite Multigraphs Into Paths and Cycles Having k Edges

Shanmugasundaram Jeevadoss, Appu Muthusamy (2015)

Discussiones Mathematicae Graph Theory

Similarity:

We give necessary and sufficient conditions for the decomposition of complete bipartite multigraph Km,n(λ) into paths and cycles having k edges. In particular, we show that such decomposition exists in Km,n(λ), when λ ≡ 0 (mod 2), [...] and k(p + q) = 2mn for k ≡ 0 (mod 2) and also when λ ≥ 3, λm ≡ λn ≡ 0(mod 2), k(p + q) =λ_mn, m, n ≥ k, (resp., m, n ≥ 3k/2) for k ≡ 0(mod 4) (respectively, for k ≡ 2(mod 4)). In fact, the necessary conditions given above are also sufficient when λ =...