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Two-block configuration formulae for BTD's with parameters (V,B,R, 3, Λ)

Published online by Cambridge University Press:  17 April 2009

M. A. Francel
M. A. Francel
Affiliation:
Department of Mathematics and Computer Science, The Citadel, Charleston SC 29409, United States of America
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Abstract

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In this paper, we count two-block configurations in a general setting. In particular, no restriction is put on the pair repetition factor (that is, the parameter Λ) of the block designs being considered. Besides giving formulae for the counts of the two-block BTD (V, B, R, 3, Λ) configuration classes, a basis for the formulae is given and shown to have size four. Details of the special cases where Λ equals two and three are also presented, along with 2-block BIBD (v, b, r, 3, λ) configuration results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 463 - 471
Copyright
Copyright © Australian Mathematical Society 2000

References

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