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On the relationship between graphs and partially balanced incomplete block designs

Published online by Cambridge University Press:  17 April 2009

W.D. Wallis
W.D. Wallis
Affiliation:
La Trobe University, Bundoora, Victoria.
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Abstract

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Certain theorems which are already known show that if a partially balanced incomplete block design with suitable parameters exists then there is a (V, K, Λ)-graph. We prove that the existence of such a graph is in fact equivalent to the existence of a certain partially balanced design. The known necessary conditions for (V, K, Λ)-graphs then follow from well-known necessary conditions for designs.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 425 - 430
Copyright
Copyright © Australian Mathematical Society 1969

References

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