Aliev, I. ORCID: https://orcid.org/0000-0002-2206-9207, De Loera, J. A., Eisenbrand, F., Oertel, T. ORCID: https://orcid.org/0000-0001-5720-8978 and Weismantel, R. 2018. The support of integer optimal solutions. SIAM Journal on Optimization 28 (3) , pp. 2152-2157. 10.1137/17M1162792 |
Preview |
PDF
- Accepted Post-Print Version
Download (225kB) | Preview |
Official URL: http://dx.doi.org/10.1137/17M1162792
Abstract
The support of a vector is the number of nonzero-components. We show that given an integral m×n matrix A, the integer linear optimization problem max{cTx:Ax=b,x≥0,x∈Zn} has an optimal solution whose support is bounded by 2mlog(2m−−√∥A∥∞), where ∥A∥∞ is the largest absolute value of an entry of A. Compared to previous bounds, the one presented here is independent on the objective function. We furthermore provide a nearly matching asymptotic lower bound on the support of optimal solutions.
Item Type: | Article |
---|---|
Date Type: | Published Online |
Status: | Published |
Schools: | Mathematics |
Publisher: | Society for Industrial and Applied Mathematics |
ISSN: | 1052-6234 |
Date of First Compliant Deposit: | 30 April 2018 |
Date of Acceptance: | 5 April 2018 |
Last Modified: | 06 Nov 2023 16:58 |
URI: | https://orca.cardiff.ac.uk/id/eprint/111105 |
Citation Data
Cited 19 times in Scopus. View in Scopus. Powered By Scopus® Data
Actions (repository staff only)
Edit Item |