Deterministic (1/2 + ε)-approximation for submodular maximization over a matroid

Niv Buchbinder; Moran Feldman; Mohit Garg

Deterministic (¹/2 + ε)-approximation for submodular maximization over a matroid

Niv Buchbinder, Moran Feldman, Mohit Garg

School of Mathematical Sciences

Open University of Israel

Research output: Contribution to conference › Paper › peer-review

36 Scopus citations

Abstract

We study the problem of maximizing a monotone submodular function subject to a matroid constraint and present a deterministic algorithm that achieves (¹/2 + ε)-approximation for the problem. This algorithm is the first deterministic algorithm known to improve over the ¹/2-approximation ratio of the classical greedy algorithm proved by Nemhauser, Wolsely and Fisher in 1978.

Original language	English
Pages	241-254
Number of pages	14
State	Published - 2019
Event	30th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2019 - San Diego, United States Duration: 6 Jan 2019 → 9 Jan 2019

Conference

Conference	30th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2019
Country/Territory	United States
City	San Diego
Period	6/01/19 → 9/01/19

Funding

Funders	Funder number
Israel Science Foundation	1585/15, 1357/16

Keywords

Deterministic algorithms
Matroid
Submodular optimization

Cite this

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abstract = "We study the problem of maximizing a monotone submodular function subject to a matroid constraint and present a deterministic algorithm that achieves (1/2 + ε)-approximation for the problem. This algorithm is the first deterministic algorithm known to improve over the 1/2-approximation ratio of the classical greedy algorithm proved by Nemhauser, Wolsely and Fisher in 1978.",

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