English

Theory and Applications of N-Fold Integer Programming

Optimization and Control 2010-06-07 v2 Discrete Mathematics Data Structures and Algorithms Combinatorics

Abstract

We overview our recently introduced theory of n-fold integer programming which enables the polynomial time solution of fundamental linear and nonlinear integer programming problems in variable dimension. We demonstrate its power by obtaining the first polynomial time algorithms in several application areas including multicommodity flows and privacy in statistical databases.

Keywords

Cite

@article{arxiv.0911.4191,
  title  = {Theory and Applications of N-Fold Integer Programming},
  author = {Shmuel Onn},
  journal= {arXiv preprint arXiv:0911.4191},
  year   = {2010}
}

Comments

IMA Volume on Mixed Integer Nonlinear Programming, Frontier Series, Springer, to appear

R2 v1 2026-06-21T14:14:31.955Z