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Smoothness versus skewness in block designs with an application to tournaments
Author(s) -
Robinson David G.
Publication year - 1995
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180030407
Subject(s) - mathematics , conjecture , skew , skewness , combinatorics , hadamard transform , block (permutation group theory) , quadratic equation , block design , discrete mathematics , statistics , computer science , geometry , mathematical analysis , telecommunications
The quadratic residue designs over GF (7) and GF (11) are shown to be the only quasismooth skew (Hadamard) designs, thus setting a conjecture of Herzog and Reid concerning the existence of so‐called “nearly triply regular” tournaments. © 1995 John Wiley & Sons., Inc.