Convex Matroid Optimization (original) (raw)

On the generality of the greedy algorithm for solving matroid base problems

Matthias Ehrgott

Discrete Applied Mathematics, 2014

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Nonlinear optimization for matroid intersection and extensions

Yael Berstein

2008

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Parametric nonlinear discrete optimization over well-described sets and matroid intersections

Shmuel Onn

Mathematical Programming, 2010

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Decomposable multi-parameter matroid optimization problems

Carmen Ortiz

Theoretical Computer Science, 2003

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A new exchange property for matroids and its application to max-min-problems

Daniel Granot

Zeitschrift für Operations Research, 1984

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The Lazy Matroid Problem

Aris Pagourtzis

Lecture Notes in Computer Science, 2014

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Non-submodular Function Maximization subject to a Matroid Constraint, with Applications

Khashayar Gatmiry

arXiv: Social and Information Networks, 2018

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Decomposition and optimization over cycles in binary matroids

Martin Grötschel

Journal of Combinatorial Theory, Series B, 1989

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Towards Nearly-linear Time Algorithms for Submodular Maximization with a Matroid Constraint

Huy Nguyễn

ArXiv, 2019

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Euler Polytopes and Convex Matroid Optimization

Shmuel Onn

arXiv (Cornell University), 2015

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On the Kth Best Base of a Matroid

Brahim Chaourar

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The Matroid Median Problem

Amit Kumar

Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, 2011

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On the Connection of Matroids and Greedy Algorithms

FOREX Publication

IJEER, 2022

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Convex Combinatorial Optimization

Shmuel Onn

Discrete and Computational Geometry, 2004

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Matroid Secretary Problem in the Random Assignment Model

Jose A. Soto

2010

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Decreasing minimization on M-convex sets: algorithms and applications

andras frank

Mathematical Programming, 2021

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A Tight Combinatorial Algorithm for Submodular Maximization Subject to a Matroid Constraint

Justin Ward

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A constrained independent set problem for matroids

Satoru Iwata

Operations Research Letters, 2004

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The 2-quasi-greedy algorithm for cardinality constrained matroid bases

Fred Glover

Discrete Applied Mathematics, 1986

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The base-matroid and inverse combinatorial optimization problems

Federico Malucelli, Mauro Dell'Amico

Discrete Applied Mathematics, 2003

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On the Matroid Isomorphism Problem

Brahim Chaourar

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A rounding technique for the polymatroid membership problem

Narayanan Harihar

Linear Algebra and its Applications, 1995

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Matroid Intersections, Polymatroid Inequalities, and Related Problems

Vladimir Gurvich

Lecture Notes in Computer Science, 2002

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A simple PTAS for Weighted Matroid Matching on Strongly Base Orderable Matroids

Jose A. Soto

2011

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Matroid Bases with Cardinality Constraints on the Intersection

Stefan Lendl

ArXiv, 2019

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Submodular functions, matroids and certain polyhedra

Jack Edmonds

2003

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A matroid generalization of a theorem of Mendelsohn and Dulmage

Sukhamay Kundu

Discrete Mathematics, 1973

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On a "primal" matroid intersection algorithm

James Orlin

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