Matchings and squarefree powers of edge ideals

dc.contributor.authorErey, Nursel
dc.contributor.authorHerzog, Juergen
dc.contributor.authorHibi, Takayuki
dc.contributor.authorMadani, Sara Saeedi
dc.date.accessioned2025-10-29T11:26:54Z
dc.date.issued2022
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractSquarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper, we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such powers are linearly related or have linear resolution. We also consider the so-called squarefree Ratliff property.(c) 2021 Published by Elsevier Inc.
dc.description.sponsorshipTUBITAK [118C033]
dc.description.sponsorshipJSPS KAKENHI [19H00637]
dc.description.sponsorshipIPM [1400130113]
dc.description.sponsorshipGrants-in-Aid for Scientific Research [19H00637] Funding Source: KAKEN
dc.description.sponsorshipThe present paper was completed while the authors stayed at Mathematisches Forschungsinstitut in Oberwolfach, August18 to September7, 2019, in the frame of the Research in Pairs Program. Nursel Erey was supported by TUBITAK grant no. 118C033. Takayuki Hibi was partially supported by JSPS KAKENHI 19H00637. Sara Saeedi Madani was in part supported by a grant from IPM (No. 1400130113).
dc.identifier.doi10.1016/j.jcta.2021.105585
dc.identifier.issn0097-3165
dc.identifier.issn1096-0899
dc.identifier.scopus2-s2.0-85122511053
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.jcta.2021.105585
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10489
dc.identifier.volume188
dc.identifier.wosWOS:000787689100006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Combinatorial Theory Series A
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectMatchings
dc.subjectEdge ideals
dc.subjectSquarefree powers
dc.titleMatchings and squarefree powers of edge ideals
dc.typeArticle

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