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Uniqueness in quadratic and hyperbolic 0–1 programming problems

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Deineko, Vladimir G., Klinz, Bettina and Woeginger, Gerhard J. (2013) Uniqueness in quadratic and hyperbolic 0–1 programming problems. Operations Research Letters, Volume 41 (Number 6). pp. 633-635. doi:10.1016/j.orl.2013.08.013 ISSN 0167-6377.

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Official URL: http://dx.doi.org/10.1016/j.orl.2013.08.013

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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 View the MathML source.

Item Type: Journal Article
Divisions: Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences
Faculty of Social Sciences > Warwick Business School
Journal or Publication Title: Operations Research Letters
Publisher: Elsevier BV
ISSN: 0167-6377
Official Date: 2013
Dates:
DateEvent
2013Published
Volume: Volume 41
Number: Number 6
Page Range: pp. 633-635
DOI: 10.1016/j.orl.2013.08.013
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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