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ACM Transactions on Mathematical Software
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Université Paris 13: HAL
Article . 2017
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ACM Transactions on Mathematical Software
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BiqCrunch

A Semidefinite Branch-and-Bound Method for Solving Binary Quadratic Problems
descriptionPublicationkeyboard_double_arrow_right Article 02 Jan 2017 English Publisher:Association for Computing Machinery (ACM)Journal:ACM Transactions on Mathematical Software, volume 43, pages 1-23 (issn: 0098-3500, eissn: 1557-7295, Copyright policy )
Authors: Nathan Krislock; Jérôme Malick; Frédéric Roupin;

doi: 10.1145/3005345

Abstract

This article presents BiqCrunch , an exact solver for binary quadratic optimization problems. BiqCrunch is a branch-and-bound method that uses an original, efficient semidefinite-optimization-based bounding procedure. It has been successfully tested on a variety of well-known combinatorial optimization problems, such as Max-Cut, Max- k -Cluster, and Max-Independent-Set. The code is publicly available online; a web interface and many conversion tools are also provided.

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Keywords

Combinatorial optimization, Branch-and-bound, Integer programming, Quadratic programming, NP-hard, Binary quadratic programming, 510, [INFO.INFO-RO]Computer Science [cs]/Operations Research [math.OC], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], quasi-Newton, exact resolution, semidefinite relaxations

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 35
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Top 10%
Green
bronze