Second Powers of Cover Ideals of Paths

dc.contributor.authorErey, Nursel
dc.contributor.authorAsloob Qureshi, Ayesha Asloob
dc.date.accessioned2025-10-29T12:08:40Z
dc.date.issued2022
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractWe show that the second power of the cover ideal of a path graph has linear quotients. To prove our result we construct a recursively defined order on the generators of the ideal which yields linear quotients. Our construction has a natural generalization to the larger class of chordal graphs. This generalization allows us to raise some questions that are related to some open problems about powers of cover ideals of chordal graphs. © 2022 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1142/S1005386722000487
dc.identifier.endpage686
dc.identifier.issn0219-1733
dc.identifier.issn1005-3867
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85143868614
dc.identifier.scopusqualityQ4
dc.identifier.startpage669
dc.identifier.urihttps://doi.org/10.1142/S1005386722000487
dc.identifier.urihttps://hdl.handle.net/20.500.14854/14619
dc.identifier.volume29
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofAlgebra Colloquium
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_Scopus_20251020
dc.subjectcover ideal
dc.subjectlinear quotient
dc.subjectpath
dc.subjectpower of ideals
dc.subjectvertex cover
dc.titleSecond Powers of Cover Ideals of Paths
dc.typeArticle

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