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Sparse Integer Programming Is Fixed-Parameter Tractable

Published in Mathematics of Operations Research • Aug 19, 2024
Authors:
Friedrich Eisenbrand
,
Christoph Hunkenschröder
,
Kim-Manuel Klein

Abstract

We study the general integer programming problem where the number of variables n is a variable part of the input. We consider two natural parameters of the constraint matrix A: its numeric measure a and its sparsity measure d. We present an algorithm for solving integer programming in time [Formula:...

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