Toric ideals are binomial ideals which represent the algebraic relations of finite sets of power-products. Their importance comes from on the fact that they show up in many problems arising from different branches of science, for instance Integer Programming and Combinatorics. Largely inspired by the fundamental book [St], we have recently addressed the problem of computing toric ideals in the paper [BLR], and even more re- cently we became aware of a new use of toric ideals in Statistics (see for instance [Din] and [PRW]) after the pioneering work [DiSt]. The broadening scope of use of this beautiful piece of theory suggested the need for the present paper, which is mainly expository, although it contains some important remarks which we were unable to find in the literature.

Toric Ideals

BIGATTI, ANNA MARIA;ROBBIANO, LORENZO
2001

Abstract

Toric ideals are binomial ideals which represent the algebraic relations of finite sets of power-products. Their importance comes from on the fact that they show up in many problems arising from different branches of science, for instance Integer Programming and Combinatorics. Largely inspired by the fundamental book [St], we have recently addressed the problem of computing toric ideals in the paper [BLR], and even more re- cently we became aware of a new use of toric ideals in Statistics (see for instance [Din] and [PRW]) after the pioneering work [DiSt]. The broadening scope of use of this beautiful piece of theory suggested the need for the present paper, which is mainly expository, although it contains some important remarks which we were unable to find in the literature.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/543082
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact