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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
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.
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- Copyright © Australian Mathematical Society 2000
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