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Toric ideals and diagonal 2-minors

dc.contributor.authorKatsabekis, A.
dc.date.accessioned2025-01-09T20:14:24Z
dc.date.available2025-01-09T20:14:24Z
dc.date.issued2016
dc.identifier.issn0236-5294
dc.identifier.issn1588-2632
dc.identifier.urihttps://doi.org/10.1007/s10474-016-0651-9
dc.identifier.urihttps://hdl.handle.net/20.500.14124/9041
dc.description.abstractLet G be a simple graph on the vertex set with m edges. An algebraic object attached to G is the ideal P (G) generated by diagonal 2-minors of an matrix of variables. We prove that if G is bipartite, then every initial ideal of P (G) is generated by squarefree monomials of degree at most . Furthermore, we completely characterize all connected graphs G for which P (G) is the toric ideal associated to a finite simple graph. Finally we compute in certain cases the universal Grobner basis of P (G) .en_US
dc.description.sponsorshipEuropean Union [246016]en_US
dc.description.sponsorshipThis work was carried out during the tenure of an ERCIM Alain Bensoussan Fellowship Programme. The research leading to these results has received funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement no. 246016.en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.ispartofActa Mathematica Hungaricaen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjecttoric idealen_US
dc.subjectdiagonal 2-minoren_US
dc.subjectGrobner basisen_US
dc.titleToric ideals and diagonal 2-minorsen_US
dc.typearticleen_US
dc.authoridKatsabekis, Anargyros/0000-0001-5084-3071
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1007/s10474-016-0651-9
dc.identifier.volume150en_US
dc.identifier.issue1en_US
dc.identifier.startpage83en_US
dc.identifier.endpage98en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:000382675000004
dc.identifier.scopus2-s2.0-84983433046
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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