Minimal free resolutions of lattice ideals of digraphs

O'Carroll, Liam; Planas Vilanova, Francesc d'Assís

doi:10.5802/alco.15

dc.contributor.author	O'Carroll, Liam
dc.contributor.author	Planas Vilanova, Francesc d'Assís
dc.contributor.other	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned	2019-01-17T07:57:19Z
dc.date.available	2019-01-17T07:57:19Z
dc.date.issued	2018-03-02
dc.identifier.citation	O'Carroll, L., Planas-Vilanova, F. A. Minimal free resolutions of lattice ideals of digraphs. "ALGEBRAIC COMBINATORICS", 2 Març 2018, vol. 1, núm. 2, p. 283-326.
dc.identifier.issn	2589-5486
dc.identifier.other	https://arxiv.org/abs/1701.07990
dc.identifier.uri	http://hdl.handle.net/2117/127012
dc.description.abstract	Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and a refined algorithm by Eröcal, Motsak, Schreyer and Steenpaß for computing syzygies, we display a free resolution of the lattice ideal associated to a finite, strongly connected, weighted, directed graph. Moreover, the resolution is minimal precisely when the digraph is strongly complete.
dc.format.extent	44 p.
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcsh	Commutative algebra
dc.subject.other	Directed graph
dc.subject.other	lattice ideal
dc.subject.other	Gröbner basis
dc.subject.other	minimal free resolution
dc.title	Minimal free resolutions of lattice ideals of digraphs
dc.type	Article
dc.subject.lemac	Àlgebra commutativa
dc.contributor.group	Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi	10.5802/alco.15
dc.description.peerreviewed	Peer Reviewed
dc.relation.publisherversion	https://alco.centre-mersenne.org/item/ALCO_2018__1_2_283_0
dc.rights.access	Open Access
local.identifier.drac	23611553
dc.description.version	Postprint (author's final draft)
local.citation.author	O'Carroll, L.; Planas-Vilanova, F. A.
local.citation.publicationName	ALGEBRAIC COMBINATORICS
local.citation.volume	1
local.citation.number	2
local.citation.startingPage	283
local.citation.endingPage	326