Mathematical Programming

, Volume 102, Issue 2, pp 249–259 | Cite as

A linear algorithm for integer programming in the plane

  • F. Eisenbrand
  • Sören Laue


We show that a 2-variable integer program, defined by m constraints involving coefficients with at most φ bits, can be solved with O(m+φ) arithmetic operations on rational numbers of size O(φ).


Mathematical Method Integer Program Rational Number Arithmetic Operation Linear Algorithm 
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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Max-Planck-Institut für InformatikSaarbrückenGermany

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