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Smoothness versus skewness in block designs with an application to tournaments

โœ Scribed by David G. Robinson

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
372 KB
Volume
3
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

The quadratic residue designs over GF(7) and GF(11) are shown to be the only quasismooth skew (Hadamard) designs, thus settling a conjecture of Herzog and Reid concerning the existence of so-called "nearly triply regular" tournaments. 0 1995 John Wiley & Sons, h e .

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We investigate the minimal antichains (in what is essentially Nash-Williams' sense) in a well-founded quasi-order. We prove the following finiteness theorem: If Q is a well-founded quasi-order and k a fixed natural number, then there is a finite set 4 k of minimal antichains of Q with the property t