Star-factorization of symmetric complete bipartite multi-digraphs

Kazuhiko Ushio
2000 Discrete Mathematics  
We show that a necessary and su cient condition for the existence of an S k -factorization of the symmetric complete bipartite multi-digraph K * m; n is m = n ≡ 0 (mod k(k − 1)=d), where d = ( ; k − 1).
doi:10.1016/s0012-365x(99)00321-0 fatcat:wfzkpeguqbfp3ihtjjsez3wc24