Note on the decomposition of lambdaKm, n (lambdaKm, n*) into paths

In this paper we investigate decompositions of a complete bipartite symmetric multidigraph λK m,n * and a complete bipartite multigraph λK m,n into paths of the same length. We give some necessary and/or sufficient conditions for such a decomposition to exist. We obtain also some results for the case when the paths in a decomposition need not to have equal lengths.