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Condition for a tournament score sequence to be simple

โœ Scribed by Peter Avery

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
293 KB
Volume
4
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

The condition is given for a (tournament) score sequence to belong to exactly one tournament.

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โœ Joseph P.S. Kung ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 447 KB

## dedicated to henry crapo on his 65th birthday Let G(r, 1, l ) be the complex arrangement where ! is a primitive rth root of unity. The matroids of these arrangements are the Dowling matroids Q l (Z r ), where Z r is the group of rth roots of unity. We show that if E is a subset of G(r, 1, l )