Preserving regular tournaments and term rank-1

Le Roy B. Beasley; David E. Brown; Alexander E. Guterman

doi:10.1016/j.laa.2009.03.046

Preserving regular tournaments and term rank-1

Le Roy B. Beasley, David E. Brown, Alexander E. Guterman

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We investigate linear operators which map certain types of tournaments to themselves. To this end we also characterize term rank-1 preservers on the set of matrices whose associated digraphs are simple loopless directed graphs, and find that this set of operators is more diverse than might be expected.

Original language	English
Pages (from-to)	926-936
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	431
Issue number	5-7
DOIs	https://doi.org/10.1016/j.laa.2009.03.046
State	Published - 1 Aug 2009
Externally published	Yes

Keywords

Preservers
Regular tournaments
Term rank

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10.1016/j.laa.2009.03.046

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title = "Preserving regular tournaments and term rank-1",

abstract = "We investigate linear operators which map certain types of tournaments to themselves. To this end we also characterize term rank-1 preservers on the set of matrices whose associated digraphs are simple loopless directed graphs, and find that this set of operators is more diverse than might be expected.",

keywords = "Preservers, Regular tournaments, Term rank",

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year = "2009",

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AU - Brown, David E.

AU - Guterman, Alexander E.

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KW - Preservers

KW - Regular tournaments

KW - Term rank

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JO - Linear Algebra and Its Applications

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Preserving regular tournaments and term rank-1

Abstract

Keywords

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