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Cycle-factorization of symmetric complete multipartite digraphs

โœ Scribed by Kazuhiko Ushio

Book ID
108316300
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
313 KB
Volume
199
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES

Star-factorization of symmetric complete
Star-factorization of symmetric complete bipartite digraphs
โœ Kazuhiko Ushio ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

We show that a necessary and sufficient condition for the existence of an Sk-factorization of the symmetric complete bipartite digraph K\*, is m = n -~ 0 (mod k(k -1)).

Evenly partite star-factorization of sym
Evenly partite star-factorization of symmetric complete tripartite multi-digraphs
โœ Kazuhiko Ushio ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

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)