Classes of cut ideals and their Betti numbers

DC ElementWertSprache
dc.contributor.authorHerzog, Jurgen
dc.contributor.authorRahimbeigi, Masoomeh
dc.contributor.authorRoemer, Tim
dc.date.accessioned2023-02-17T11:34:33Z-
dc.date.available2023-02-17T11:34:33Z-
dc.date.issued2022
dc.identifier.issn1982-6907
dc.identifier.urihttp://osnascholar.ub.uni-osnabrueck.de/handle/unios/65435-
dc.description.abstractWe study monomial cut ideals associated to a graph G, which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projective dimensions, and Castelnuovo-Mumford regularities are investigated if the graph can be decomposed as 0-clique sums and disjoint union of subgraphs. The total Betti numbers of a cycle are computed. Moreover, we classify all Freiman ideals among monomial cut ideals.
dc.language.isoen
dc.publisherSPRINGER INT PUBL AG
dc.relation.ispartofSAO PAULO JOURNAL OF MATHEMATICAL SCIENCES
dc.subjectBetti numbers
dc.subjectCohen-Macaulay type
dc.subjectCut sets
dc.subjectGRAPHS
dc.subjectMathematics
dc.subjectMonomial ideals
dc.subjectNumber of generators
dc.subjectPowers of ideals
dc.titleClasses of cut ideals and their Betti numbers
dc.typejournal article
dc.identifier.doi10.1007/s40863-022-00325-9
dc.identifier.isiISI:000863549000001
dc.identifier.eissn2316-9028
dc.publisher.placeGEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
dcterms.isPartOf.abbreviationSao Paulo J. Math. Sci.
dcterms.oaStatusGreen Submitted
local.import.remainsaffiliations : University of Duisburg Essen; University Osnabruck
local.import.remainsearlyaccessdate : OCT 2022
local.import.remainsweb-of-science-index : Emerging Sources Citation Index (ESCI)
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidRoTi119-
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