Integer-empty polytopes in the 0/1-cube with maximal GomoryChvátal rank

Sebastian Pokutta; Andreas S. Schulz

doi:10.1016/j.orl.2011.09.004

Integer-empty polytopes in the 0/1-cube with maximal GomoryChvátal rank

Sebastian Pokutta, Andreas S. Schulz

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

5 Scopus citations

Abstract

We provide a complete characterization of all polytopes P⊆[ ^0,1]n with empty integer hulls, whose GomoryChvátal rank is n (and, therefore, maximal). In particular, we show that the first GomoryChvátal closure of all these polytopes is identical.

Original language	English
Pages (from-to)	457-460
Number of pages	4
Journal	Operations Research Letters
Volume	39
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2011.09.004
State	Published - Nov 2011
Externally published	Yes

Keywords

Cutting planes
GomoryChvátal closure
Integer programming
Rank

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10.1016/j.orl.2011.09.004

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title = "Integer-empty polytopes in the 0/1-cube with maximal GomoryChv{\'a}tal rank",

abstract = "We provide a complete characterization of all polytopes P⊆[ 0,1]n with empty integer hulls, whose GomoryChv{\'a}tal rank is n (and, therefore, maximal). In particular, we show that the first GomoryChv{\'a}tal closure of all these polytopes is identical.",

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year = "2011",

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AU - Pokutta, Sebastian

AU - Schulz, Andreas S.

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N2 - We provide a complete characterization of all polytopes P⊆[ 0,1]n with empty integer hulls, whose GomoryChvátal rank is n (and, therefore, maximal). In particular, we show that the first GomoryChvátal closure of all these polytopes is identical.

AB - We provide a complete characterization of all polytopes P⊆[ 0,1]n with empty integer hulls, whose GomoryChvátal rank is n (and, therefore, maximal). In particular, we show that the first GomoryChvátal closure of all these polytopes is identical.

KW - Cutting planes

KW - GomoryChvátal closure

KW - Integer programming

KW - Rank

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DO - 10.1016/j.orl.2011.09.004

M3 - Article

AN - SCOPUS:80855131638

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VL - 39

SP - 457

EP - 460

JO - Operations Research Letters

JF - Operations Research Letters

IS - 6

ER -

Integer-empty polytopes in the 0/1-cube with maximal GomoryChvátal rank

Abstract

Keywords

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