Characterizations of *-families

Komei Fukuda; Akihisa Tamura

doi:10.1016/0095-8956(89)90069-5

Characterizations of *-families

Komei Fukuda, Akihisa Tamura

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

3 Citations (Scopus)

Abstract

A *-family is a set F of signed vectors on a finite set E such that (F^*)^* = F, where F^* is the orthogonal complement of F. In this note we present two characterizations of *-families using relaxations of well-known properties of oriented matroids.

Original language	English
Pages (from-to)	107-110
Number of pages	4
Journal	Journal of Combinatorial Theory, Series B
Volume	47
Issue number	1
DOIs	https://doi.org/10.1016/0095-8956(89)90069-5
Publication status	Published - 1989 Aug
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0095-8956(89)90069-5

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title = "Characterizations of *-families",

abstract = "A *-family is a set F of signed vectors on a finite set E such that (F*)* = F, where F* is the orthogonal complement of F. In this note we present two characterizations of *-families using relaxations of well-known properties of oriented matroids.",

author = "Komei Fukuda and Akihisa Tamura",

year = "1989",

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journal = "Journal of Combinatorial Theory. Series B",

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AU - Fukuda, Komei

AU - Tamura, Akihisa

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N2 - A *-family is a set F of signed vectors on a finite set E such that (F*)* = F, where F* is the orthogonal complement of F. In this note we present two characterizations of *-families using relaxations of well-known properties of oriented matroids.

AB - A *-family is a set F of signed vectors on a finite set E such that (F*)* = F, where F* is the orthogonal complement of F. In this note we present two characterizations of *-families using relaxations of well-known properties of oriented matroids.

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JO - Journal of Combinatorial Theory. Series B

JF - Journal of Combinatorial Theory. Series B

SN - 0095-8956

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Characterizations of *-families

Abstract

ASJC Scopus subject areas

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