Perfect (0, ± 1)-matrices and perfect bidirected graphs

Akihisa Tamura

doi:10.1016/S0304-3975(99)00203-0

Perfect (0, ± 1)-matrices and perfect bidirected graphs

Akihisa Tamura

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

1 Citation (Scopus)

Abstract

Perfect (0, ± 1)-matrices and perfect bidirected graphs are independently defined but are closely related. In this paper, we discuss these relations and give several characterizations of perfectness. The generalized stable set problem associated with bidirected graphs is a generalization of the maximum weighted stable set problem. We also give a brief proof that if a given bidirected graph is perfect, then the problem can be solved in polynomial time.

Original language	English
Pages (from-to)	339-356
Number of pages	18
Journal	Theoretical Computer Science
Volume	235
Issue number	2
DOIs	https://doi.org/10.1016/S0304-3975(99)00203-0
Publication status	Published - 2000 Mar 28
Externally published	Yes

Keywords

(0, 1)-polytopes
(0, ± 1)-matrices
Bidirected graphs
Perfectness

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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N2 - Perfect (0, ± 1)-matrices and perfect bidirected graphs are independently defined but are closely related. In this paper, we discuss these relations and give several characterizations of perfectness. The generalized stable set problem associated with bidirected graphs is a generalization of the maximum weighted stable set problem. We also give a brief proof that if a given bidirected graph is perfect, then the problem can be solved in polynomial time.

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KW - Bidirected graphs

KW - Perfectness

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Perfect (0, ± 1)-matrices and perfect bidirected graphs

Abstract

Keywords

ASJC Scopus subject areas

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