Computing the Betti table of a monomial ideal: A reduction algorithm. (July 2018)

• Record Type: Journal Article
• Authors: Torrente, Maria-Laura; Varbaro, Matteo
• Is Part Of: Journal of symbolic computation. Volume 87(2018)
• Page Start: 87
• Page End: 98
• Publication Date: 2018-07
• Subjects: Betti tables -- Monomial ideals -- Subadditivity property; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.06.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this paper we develop a new technique to compute the Betti table of a monomial ideal. We present a prototype implementation of the resulting algorithm and we perform some numerical experiments. As a major byproduct, we also prove new constraints on the shape of the possible Betti tables of a monomial ideal.