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Star-factorization of symmetric complete bipartite digraphs

โœ Scribed by Kazuhiko Ushio


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
174 KB
Volume
167-168
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


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)).


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## Abstract Let __Z__~__p__~ denote the cyclic group of order __p__ where __p__ is a prime number. Let __X__ = __X__(__Z__~__p__~, __H__) denote the Cayley digraph of __Z__~__p__~ with respect to the symbol __H__. We obtain a necessary and sufficient condition on __H__ so that the complete graph on