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Approximation algorithms for integer programming with resource augmentation

Published in arXiv (Cornell University) • Dec 30, 2025
Authors:
Hauke Brinkop
,
Hua Chen
,
Lin Chen

Abstract

The classic algorithm [Papadimitriou, J.ACM '81] for IPs has a running time $n^{O(m)}(m\cdot\max\{Δ,\|\textbf{b}\|_{\infty}\})^{O(m^2)}$, where $m$ is the number of constraints, $n$ is the number of variables, and $Δ$ and $\|\textbf{b}\|_{\infty}$ are, respectively, the largest absolute values among...

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