Distance-sparsity transference for vertices of corner polyhedra

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Celaya, Marcel, Henk, Martin and Williams, Aled 2021. Distance-sparsity transference for vertices of corner polyhedra. SIAM Journal on Optimization 31 (1) 10.1137/20M1353228

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Abstract

We obtain a transference bound for vertices of corner polyhedra that connects two well-established areas of research: proximity and sparsity of solutions to integer programs. In the knapsack scenario, it implies an exponential in size of support improvement on previously known proximity estimates. In addition, for general integer linear programs we obtain a resembling result that connects the minimum absolute nonzero entry of an optimal solution with the size of its support.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	1052-6234
Date of First Compliant Deposit:	2 November 2020
Date of Acceptance:	21 October 2020
Last Modified:	08 Nov 2023 06:01
URI:	https://orca.cardiff.ac.uk/id/eprint/136066

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