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Approximation algorithms for integer programming with resource augmentation

Published in RENATE • Sep 1, 2025
Authors:
Hauke Brinkop
,
Hua Chen
,
Lin Chen

Abstract

Solving a general integer program (IP) is NP-hard. The classic algorithm [Papadimitriou, J.ACM ’81] for IPs has a running time depending on the number of constraints (m) and the largest absolute value of the entries of the constraint matrix (∆). The running time is exponential in m, and becomes pseu...

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