Packing paths in a $(\lambda +\mu )K_{v+u}-\lambda K_v$

John Asplund, Joe Chaffee, James M. Hammer

Following standard terminology, $\lambda K_v$ is a multigraph on $v$ vertices such that $\lambda$ edges join each pair of vertices. Let $(\lambda +\mu )K_{v+u}-\lambda K_v$ be the graph $(V\cup U,E)$ with $|V|=…