Idempotent Boolean matrices and majorization

L. B. Beasley; A. E. Guterman; K. T. Kang; S. Z. Song

doi:10.1007/s10958-008-9086-3

Idempotent Boolean matrices and majorization

L. B. Beasley, A. E. Guterman, K. T. Kang, S. Z. Song

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

2 Scopus citations

Abstract

We obtain a new structural characterization of idempotent Boolean matrices. This characterization allows us to describe all Boolean matrices that are majorized by a given idempotent.

Original language	English
Pages (from-to)	456-468
Number of pages	13
Journal	Journal of Mathematical Sciences
Volume	152
Issue number	4
DOIs	https://doi.org/10.1007/s10958-008-9086-3
State	Published - Jul 2008
Externally published	Yes

Bibliographical note

Funding Information:
The second author was partially supported by grants RFBR 05-01-01048 and MK-1417.2005.1.

Funding

The second author was partially supported by grants RFBR 05-01-01048 and MK-1417.2005.1.

Funders	Funder number
Russian Foundation for Basic Research	05-01-01048, MK-1417.2005.1

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10.1007/s10958-008-9086-3

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title = "Idempotent Boolean matrices and majorization",

abstract = "We obtain a new structural characterization of idempotent Boolean matrices. This characterization allows us to describe all Boolean matrices that are majorized by a given idempotent.",

author = "Beasley, \{L. B.\} and Guterman, \{A. E.\} and Kang, \{K. T.\} and Song, \{S. Z.\}",

note = "Funding Information: The second author was partially supported by grants RFBR 05-01-01048 and MK-1417.2005.1.",

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AU - Beasley, L. B.

AU - Guterman, A. E.

AU - Kang, K. T.

AU - Song, S. Z.

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PY - 2008/7

Y1 - 2008/7

N2 - We obtain a new structural characterization of idempotent Boolean matrices. This characterization allows us to describe all Boolean matrices that are majorized by a given idempotent.

AB - We obtain a new structural characterization of idempotent Boolean matrices. This characterization allows us to describe all Boolean matrices that are majorized by a given idempotent.

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VL - 152

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JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 4

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Idempotent Boolean matrices and majorization

Abstract

Bibliographical note

Funding

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