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Balanced bipartite weighing designs

โœ Scribed by Charlotte Huang


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
851 KB
Volume
21
Category
Article
ISSN
0097-3165

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We determine here those quadruples (a, b, c, d) of positive integers for which the edges of the complete bipartite graph K c , d can be partitioned into copies of K n , b . ## 1. Introduction A classic problem in design theory is to partition the edges of the complete graph on v vertices ( K , ) i

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Algebraic techniques are employed to obtain necessary conditions for the existence of certain families of circulant weighing designs. As an application we rule out the existence of many circulant weighing designs. In particular, we show that there does not exist a circulant weighing matrix of order