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SIAM Journal on Discrete Mathematics
Article
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Preprint . 2002
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SIAM Journal on Discrete Mathematics
Article . 2003 . Peer-reviewed
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Convex Matroid Optimization

Convex matroid optimization
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003Embargo end date: 01 Jan 2002 United States Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Discrete Mathematics, volume 17, pages 249-253 (issn: 0895-4801, eissn: 1095-7146, Copyright policy )
Authors: Onn, Shmuel;

doi: 10.1137/s0895480102408559 , 10.48550/arxiv.math/0207136

arXiv: http://arxiv.org/abs/math/0207136

Convex Matroid Optimization

Abstract

We consider a problem of optimizing convex functionals over matroid bases. It is richly expressive and captures certain quadratic assignment and clustering problems. While generally NP-hard, we show it is polynomial time solvable when a suitable parameter is restricted.

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United States
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Keywords

FOS: Computer and information sciences, Combinatorial optimization, polynomial time, Discrete Mathematics (cs.DM), cs.DM, quadratic assignment, FOS: Mathematics, Mathematics - Combinatorics, strongly polynomial time, math.CO, cluster, Mathematics - Optimization and Control, math.RA, convex, Mathematics - Rings and Algebras, Combinatorial aspects of matroids and geometric lattices, partition, greedy algorithm, Optimization and Control (math.OC), Rings and Algebras (math.RA), polytope, matroid, combinatorial optimization, Combinatorics (math.CO), optimization, Computer Science - Discrete Mathematics

  • BIP!
    Impact byBIP!
    citations
    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).
    		 12
    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.
    		 Average
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citations
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!
12
Top 10%
Top 10%
Average
Green
bronze