Indispensable monomials of toric ideals and Markov bases

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Extending the notion of indispensable binomials of a toric ideal, we define indispensable monomials of a toric ideal and establish some of their properties. They are useful for searching indispensable binomials of a toric ideal and for proving the existence or non-existence of a unique minimal system of binomials generators of a toric ideal. Some examples of indispensable monomials from statistical models for contingency tables are given.
20 pages, 5 figures

Keywords

Statistics Theory, 62H17; 13P10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/158897

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511290
 http://arxiv.org/abs/math/0511290
 Journal of Symbobic Computation, Vol.43, 490-507, 2008.
 doi:10.1016/j.jsc.2007.07.012

Collections

arXiv