منابع مشابه
Graphs of transportation polytopes
Article history: Received 17 October 2007 Available online 28 April 2009
متن کاملInformation-geometric equivalence of transportation polytopes
This paper deals with transportation polytopes in the probability simplex (that is, sets of categorical bivariate probability distributions with prescribed marginals). Information projections between such polytopes are studied, and a sufficient condition is described under which these mappings are homeomorphisms. 1. Preliminaries Let Γn denote the set of probability distributions with alphabet ...
متن کاملAll Rational Polytopes Are Transportation Polytopes and All Polytopal Integer Sets Are Contingency Tables
We show that any rational polytope is polynomial-time representable as a “slim” r × c× 3 three-way line-sum transportation polytope. This universality theorem has important consequences for linear and integer programming and for confidential statistical data disclosure. It provides polynomial-time embedding of arbitrary linear programs and integer programs in such slim transportation programs a...
متن کاملThe Hierarchy of Circuit Diameters and Transportation Polytopes
The study of the diameter of the graph of polyhedra is a classical problem in the theory of linear programming. While transportation polytopes are at the core of operations research and statistics it is still open whether the Hirsch conjecture is true for general m×n–transportation polytopes. In earlier work the first three authors introduced a hierarchy of variations to the notion of graph dia...
متن کاملQuadratic Gröbner bases for smooth 3 × 3 transportation polytopes
The toric ideals of 3 × 3 transportation polytopes Trc are quadratically generated. The only exception is the Birkhoff polytope B3. If Trc is not a multiple of B3, these ideals even have square-free quadratic initial ideals. This class contains all smooth 3 × 3 transportation polytopes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1972
ISSN: 0095-8956
DOI: 10.1016/0095-8956(72)90060-3