Sparse solutions of linear diophantine equations

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207, Loera, Jesus De, Oertel, Timm ORCID: https://orcid.org/0000-0001-5720-8978 and O'Neill, Christopher 2017. Sparse solutions of linear diophantine equations. SIAM Journal on Applied Algebra and Geometry 1 (1) , pp. 239-253. 10.1137/16M1083876

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Abstract

We present structural results on solutions to the Diophantine system Ay = b, y ∈ Z t ≥0 with the smallest number of non-zero entries. Our tools are algebraic and number theoretic in nature and include Siegel’s Lemma, generating functions, and commutative algebra. These results have some interesting consequences in discrete optimization.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	2470-6566
Date of First Compliant Deposit:	6 April 2017
Date of Acceptance:	4 January 2017
Last Modified:	24 Nov 2024 08:45
URI:	https://orca.cardiff.ac.uk/id/eprint/99705

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