All Linear and Integer Programs Are Slim 3-Way Transportation Programs

  title={All Linear and Integer Programs Are Slim 3-Way Transportation Programs},
  author={Jes{\'u}s A. De Loera and Shmuel Onn},
  journal={SIAM Journal on Optimization},
We show that any rational convex polytope is polynomial-time representable as a three-way linesum transportation polytope of “slim” (r, c, 3) format. This universality theorem has important consequences for linear and integer programming and for confidential statistical data disclosure. We provide a polynomial-time embedding of arbitrary linear programs and integer programs in such slim transportation programs and in bitransportation programs. Our construction resolves several standing problems… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 32 extracted citations

LP Relaxation of the Potts Labeling Problem Is as Hard as Any Linear Program

IEEE Transactions on Pattern Analysis and Machine Intelligence • 2017
View 1 Excerpt

Huge Unimodular N-Fold Programs

SIAM J. Discrete Math. • 2015
View 1 Excerpt

Huge Multiway Table Problems

Discrete Optimization • 2014
View 2 Excerpts


Publications referenced by this paper.
Showing 1-10 of 25 references

Convex Combinatorial Optimization

Discrete & Computational Geometry • 2004

On properties of multi-dimensional statistical tables

L. H. Cox
J. Stat. Plan. Infer • 2003
View 1 Excerpt

Bounds on entries in 3-dimensional contingency tables. Inference Control in Statistical Databases - From Theory to Practice, Lect

L. H. Cox
Notes Comput. Sci • 2002
View 1 Excerpt

Similar Papers

Loading similar papers…