๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Boolean rank of upset tournament matrices

โœ Scribed by David E. Brown; Scott Roy; J. Richard Lundgren; Daluss J. Siewert


Book ID
113772173
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
344 KB
Volume
436
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Ranks of Boolean matrices
โœ Jin Bai Kim ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB
Optimal ranking of tournaments
โœ J. Spencer ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 128 KB
Bijective linear maps on semimodules spa
โœ Ming-Huat Lim; Sin-Chee Tan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

Let M m,n (B) be the semimodule of all m ร— n Boolean matrices where B is the Boolean algebra with two elements. Let k be a positive integer such that 2 k min (m, n). Let B (m, n, k) denote the subsemimodule of M m,n (B) spanned by the set of all rank k matrices. We show that if T is a bijective line