Open Access
2006 Compressed polytopes and statistical disclosure limitation
Seth Sullivant
Tohoku Math. J. (2) 58(3): 433-445 (2006). DOI: 10.2748/tmj/1163775139

Abstract

We provide a characterization of the compressed lattice polytopes in terms of their facet defining inequalities and prove that every compressed lattice polytope is affinely isomorphic to a 0/1-polytope. As an application, we characterize those graphs whose cut polytopes are compressed and discuss consequences for studying linear programming relaxations in statistical disclosure limitation.

Citation

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Seth Sullivant. "Compressed polytopes and statistical disclosure limitation." Tohoku Math. J. (2) 58 (3) 433 - 445, 2006. https://doi.org/10.2748/tmj/1163775139

Information

Published: 2006
First available in Project Euclid: 17 November 2006

zbMATH: 1121.52028
MathSciNet: MR2273279
Digital Object Identifier: 10.2748/tmj/1163775139

Subjects:
Primary: 52B20
Secondary: 90C10

Keywords: Algebraic statistics , Compressed polytope , cut polytope , Disclosure Limitation , integer programming

Rights: Copyright © 2006 Tohoku University

Vol.58 • No. 3 • 2006
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