Indispensable monomials of toric ideals and Markov bases

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dc.creatorAoki, Satoshi
dc.creatorTakemura, Akimichi
dc.creatorYoshida, Ruriko
dc.date2005-11-11
dc.date2006-03-06
dc.date.accessioned2026-07-07T09:32:46Z
dc.date.available2026-07-07T09:32:46Z
dc.descriptionExtending 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.
dc.description20 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0511290
dc.identifierhttp://arxiv.org/abs/math/0511290
dc.identifierJournal of Symbobic Computation, Vol.43, 490-507, 2008.
dc.identifierdoi:10.1016/j.jsc.2007.07.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158897
dc.subjectStatistics Theory
dc.subject62H17; 13P10
dc.titleIndispensable monomials of toric ideals and Markov bases
dc.typetext

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