| 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 |
