Uniqueness in quadratic and hyperbolic 0–1 programming problems

Vladimir Deineko; Bettina Klinz; Gerhard Johannes Wöginger

doi:10.1016/j.orl.2013.08.013

Uniqueness in quadratic and hyperbolic 0–1 programming problems

Vladimir Deineko, Bettina Klinz^*, Gerhard Johannes Wöginger

^*Corresponding author for this work

Institute of Discrete Mathematics (5050)

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

Abstract

We analyze the question of deciding whether a quadratic or a hyperbolic 0–1 programming instance has a unique optimal solution. Both uniqueness questions are known to be NP-hard, but are unlikely to be contained in the class NP. We precisely pinpoint their computational complexity by showing that they both are complete for the complexity class ∆2P

Original language	English
Pages (from-to)	633-635
Journal	Operations Research Letters
Volume	41
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2013.08.013
Publication status	Published - 2013

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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10.1016/j.orl.2013.08.013

Cite this

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title = "Uniqueness in quadratic and hyperbolic 0–1 programming problems",

abstract = "We analyze the question of deciding whether a quadratic or a hyperbolic 0–1 programming instance has a unique optimal solution. Both uniqueness questions are known to be NP-hard, but are unlikely to be contained in the class NP. We precisely pinpoint their computational complexity by showing that they both are complete for the complexity class ∆2P",

author = "Vladimir Deineko and Bettina Klinz and W{\"o}ginger, {Gerhard Johannes}",

year = "2013",

doi = "10.1016/j.orl.2013.08.013",

language = "English",

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pages = "633--635",

journal = "Operations Research Letters",

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T1 - Uniqueness in quadratic and hyperbolic 0–1 programming problems

AU - Deineko, Vladimir

AU - Klinz, Bettina

AU - Wöginger, Gerhard Johannes

PY - 2013

Y1 - 2013

N2 - We analyze the question of deciding whether a quadratic or a hyperbolic 0–1 programming instance has a unique optimal solution. Both uniqueness questions are known to be NP-hard, but are unlikely to be contained in the class NP. We precisely pinpoint their computational complexity by showing that they both are complete for the complexity class ∆2P

AB - We analyze the question of deciding whether a quadratic or a hyperbolic 0–1 programming instance has a unique optimal solution. Both uniqueness questions are known to be NP-hard, but are unlikely to be contained in the class NP. We precisely pinpoint their computational complexity by showing that they both are complete for the complexity class ∆2P

U2 - 10.1016/j.orl.2013.08.013

DO - 10.1016/j.orl.2013.08.013

M3 - Article

VL - 41

SP - 633

EP - 635

JO - Operations Research Letters

JF - Operations Research Letters

IS - 6

ER -

Uniqueness in quadratic and hyperbolic 0–1 programming problems

Abstract

Fields of Expertise

Treatment code (Nähere Zuordnung)

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Cite this