Evenly partite star-factorization of symmetric complete tripartite multi-digraphs

✍ Scribed by Kazuhiko Ushio

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 241 KB
• Volume: 11
• Category: Article
• ISSN: 1571-0653
• DOI: 10.1016/s1571-0653(04)00106-4

✦ Synopsis

We show that a necessary and sufficient condition for the existence of an (\bar{S}{2 q+1}) - factorization of the symmetric complete tripartite multi-digraph (\lambda K{n_{1}, n_{2}, n_{3}}^{*}) is (i) (n_{1}=n_{2}=n_{3}) for (q=1) and (ii) (n_{1}=n_{2}=n_{3} \equiv 0(\bmod (2 q+1) q / d)) for (q \geq 2), where (d=(\lambda, q)).