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The Cartographer
Totally $Ξ$-modular IPs with two non-zeros in most rows
November 22, 2024 Β· Declared Dead Β· + Add venue
"No code URL or promise found in abstract"
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Authors
Stefan Kober
arXiv ID
2411.15282
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.CO,
math.OC
Citations
0
Last Checked
5 months ago
Abstract
Integer programs (IPs) on constraint matrices with bounded subdeterminants are conjectured to be solvable in polynomial time. We give a strongly polynomial time algorithm to solve IPs where the constraint matrix has bounded subdeterminants and at most two non-zeros per row after removing a constant number of rows and columns. This result extends the work by Fiorini, Joret, Weltge \& Yuditsky (J. ACM 72(1), 1-50 (2025)) by allowing for additional, unifying constraints and variables.
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