An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2

We give an algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2 and establish connections with minimal vertex covers of a simple graph. We also describe an implementation in C++ of the algorithm.

Bibliographic Details
Main Author: Giancarlo Rinaldo
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2009-09-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access:http://dx.doi.org/10.1478/c1a0902004
_version_ 1818499276697763840
author Giancarlo Rinaldo
author_facet Giancarlo Rinaldo
author_sort Giancarlo Rinaldo
collection DOAJ
description We give an algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2 and establish connections with minimal vertex covers of a simple graph. We also describe an implementation in C++ of the algorithm.
first_indexed 2024-12-10T20:27:13Z
format Article
id doaj.art-b6031bf7dec046a4b1fae1012a71e64b
institution Directory Open Access Journal
issn 0365-0359
1825-1242
language English
last_indexed 2024-12-10T20:27:13Z
publishDate 2009-09-01
publisher Accademia Peloritana dei Pericolanti
record_format Article
series Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
spelling doaj.art-b6031bf7dec046a4b1fae1012a71e64b2022-12-22T01:34:50ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422009-09-01LXXXVII2C1A0902004An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2Giancarlo RinaldoWe give an algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2 and establish connections with minimal vertex covers of a simple graph. We also describe an implementation in C++ of the algorithm.http://dx.doi.org/10.1478/c1a0902004
spellingShingle Giancarlo Rinaldo
An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
title An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
title_full An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
title_fullStr An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
title_full_unstemmed An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
title_short An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
title_sort algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
url http://dx.doi.org/10.1478/c1a0902004
work_keys_str_mv AT giancarlorinaldo analgorithmtocomputeprimarydecompositionofmonomialidealsequigeneratedindegree2
AT giancarlorinaldo algorithmtocomputeprimarydecompositionofmonomialidealsequigeneratedindegree2