Lexicographic Gröbner bases for transportation problems of format <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>r</mml:mi><mml:mo>×</mml:mo><mml:mn>3</mml:mn><mml:mo>×</mml:mo><mml:mn>3</mml:mn></mml:math>-Reference-Cited by-同舟云学术

Lexicographic Gröbner bases for transportation problems of format r×3×3

Published:2006-03 Issue:3-4 Volume:41 Page:336-356
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Boffi Giandomenico,Rossi Fabio

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference10 articles.

1. Minimal basis for connected Markov chain over 3×3×K contingency tables with fixed two-dimensional marginals;Aoki;Australian and New Zealand Journal of Statistics,2003

2. Aoki, S., Takemura, A., 2003b. Invariant minimal Markov basis for sampling contingency tables with fixed marginals. Technical Report METR 03-25, Department of Mathematical Engineering and Information Physics, The University of Tokyo

3. Boffi, G., Rossi, F., 2000. Gröbner bases related to 3-dimensional transportation problems. In: Quaderni matematici dell’Università di Trieste, vol. 482. DSM-Trieste. http://www.dmi.units.it/~rossif/

4. Lexicographic Gröbner bases of 3-dimensional transportation problems;Boffi;Contemporary Mathematics,2001

5. CoCoA: a system for doing Computations in Commutative Algebra;CoCoATeam,2004

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2. Markov Basis for No-Three-Factor Interaction Models and Some Other Hierarchical Models;Springer Series in Statistics;2012

3. A time expanded version of the (Hitchcock-) transportation problem;European Transport Research Review;2011-10-01

4. On the Gröbner complexity of matrices;Journal of Pure and Applied Algebra;2009-08