Classes of cut ideals and their Betti numbers
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Herzog, Jurgen | |
dc.contributor.author | Rahimbeigi, Masoomeh | |
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2023-02-17T11:34:33Z | - |
dc.date.available | 2023-02-17T11:34:33Z | - |
dc.date.issued | 2022 | |
dc.identifier.issn | 1982-6907 | |
dc.identifier.uri | http://osnascholar.ub.uni-osnabrueck.de/handle/unios/65435 | - |
dc.description.abstract | We 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.iso | en | |
dc.publisher | SPRINGER INT PUBL AG | |
dc.relation.ispartof | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | |
dc.subject | Betti numbers | |
dc.subject | Cohen-Macaulay type | |
dc.subject | Cut sets | |
dc.subject | GRAPHS | |
dc.subject | Mathematics | |
dc.subject | Monomial ideals | |
dc.subject | Number of generators | |
dc.subject | Powers of ideals | |
dc.title | Classes of cut ideals and their Betti numbers | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s40863-022-00325-9 | |
dc.identifier.isi | ISI:000863549000001 | |
dc.identifier.eissn | 2316-9028 | |
dc.publisher.place | GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND | |
dcterms.isPartOf.abbreviation | Sao Paulo J. Math. Sci. | |
dcterms.oaStatus | Green Submitted | |
local.import.remains | affiliations : University of Duisburg Essen; University Osnabruck | |
local.import.remains | earlyaccessdate : OCT 2022 | |
local.import.remains | web-of-science-index : Emerging Sources Citation Index (ESCI) | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |
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