Properties of cut ideals associated to ring graphs

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dc.creatorNagel, Uwe
dc.creatorPetrović, Sonja
dc.date2008-06-03
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:08:37Z
dc.date.available2026-07-07T13:08:37Z
dc.descriptionA cut ideal of a graph records the relations among the cuts of the graph. These toric ideals have been introduced by Sturmfels and Sullivant who also posed the problem of relating their properties to the combinatorial structure of the graph. We study the cut ideals of the family of ring graphs, which includes trees and cycles. We show that they have quadratic Gröbner bases and that their coordinate rings are Koszul, Hilbertian, and Cohen-Macaulay, but not Gorenstein in general.
dc.descriptionReferences corrected/updated. 11 pages. To appear in the Journal of Commutative Algebra
dc.identifierhttps://arxiv.org/abs/0806.0585
dc.identifierhttp://arxiv.org/abs/0806.0585
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228472
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.titleProperties of cut ideals associated to ring graphs
dc.typetext

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