Toric geometry of cuts and splits

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dc.creatorSturmfels, Bernd
dc.creatorSullivant, Seth
dc.date2006-06-27
dc.date2007-02-12
dc.date.accessioned2026-07-07T07:45:59Z
dc.date.available2026-07-07T07:45:59Z
dc.descriptionAssociated to any graph is a toric ideal whose generators record relations among the cuts of the graph. We study these ideals and the geometry of the corresponding toric varieties. Our theorems and conjectures relate the combinatorial structure of the graph and the corresponding cut polytope to algebraic properties of the ideal. Cut ideals generalize toric ideals arising in phylogenetics and the study of contingency tables.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0606683
dc.identifierhttp://arxiv.org/abs/math/0606683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123687
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleToric geometry of cuts and splits
dc.typetext

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