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dc.contributor.authorO'Carroll, Liam
dc.contributor.authorPlanas Vilanova, Francesc d'Assís
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-01-17T07:57:19Z
dc.date.available2019-01-17T07:57:19Z
dc.date.issued2018-03-02
dc.identifier.citationO'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.issn2589-5486
dc.identifier.otherhttps://arxiv.org/abs/1701.07990
dc.identifier.urihttp://hdl.handle.net/2117/127012
dc.description.abstractBased 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.extent44 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshCommutative algebra
dc.subject.otherDirected graph
dc.subject.otherlattice ideal
dc.subject.otherGröbner basis
dc.subject.otherminimal free resolution
dc.titleMinimal free resolutions of lattice ideals of digraphs
dc.typeArticle
dc.subject.lemacÀlgebra commutativa
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.5802/alco.15
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://alco.centre-mersenne.org/item/ALCO_2018__1_2_283_0
dc.rights.accessOpen Access
local.identifier.drac23611553
dc.description.versionPostprint (author's final draft)
local.citation.authorO'Carroll, L.; Planas-Vilanova, F. A.
local.citation.publicationNameALGEBRAIC COMBINATORICS
local.citation.volume1
local.citation.number2
local.citation.startingPage283
local.citation.endingPage326


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain