Powers of ideals associated to (C4, 2K2)-free graphs

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dc.contributor.authorErey, Nursel
dc.date.accessioned2025-10-29T11:26:15Z
dc.date.issued2019
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractLet G be a (C-4, 2K(2))-free graph with edge ideal I(G) subset of k[x(1), . . . , x(n)]. We show that I(G)(s) has linear resolution for every s >= 2. Also, we show that every power of the vertex cover ideal of G has linear quotients. As a result, we describe the Castelnuovo-Mumford regularity of powers of I(G)(v) in terms of the maximum degree of G. (C) 2018 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.jpaa.2018.10.009
dc.identifier.endpage3080
dc.identifier.issn0022-4049
dc.identifier.issn1873-1376
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85054457165
dc.identifier.scopusqualityQ2
dc.identifier.startpage3071
dc.identifier.urihttps://doi.org/10.1016/j.jpaa.2018.10.009
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10183
dc.identifier.volume223
dc.identifier.wosWOS:000459367700014
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorErey, Nursel
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Pure and Applied Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectEdge ideals
dc.subjectVertex cover ideals
dc.subjectPowers of ideals
dc.subjectGap-free graphs
dc.subjectCastelnuovo-Mumford regularity
dc.subjectLinear resolution
dc.titlePowers of ideals associated to (C4, 2K2)-free graphs
dc.typeArticle

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