Betti Numbers of Path Ideals of Trees

DC FieldValueLanguage
dc.contributor.authorKiani, Dariush
dc.contributor.authorMadani, Sara Saeedi
dc.date.accessioned2021-12-23T16:12:23Z-
dc.date.available2021-12-23T16:12:23Z-
dc.date.issued2016
dc.identifier.issn00927872
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/10189-
dc.description.abstractLet R=k[x(1),..., x(n)], where k is a field. The path ideal (of length t) of a directed graph G is the monomial ideal, denoted by I-t(G), whose generators correspond to the directed paths of length t in G. We determine all the graded Betti numbers of the path ideal of a directed rooted tree with respect to some graphical terms.
dc.description.sponsorshipIPM [94050116]; German Research Council DFG-GRK [1916]; The research of the first author was in part supported by a grant from IPM (No. 94050116). The second author was supported by the German Research Council DFG-GRK 1916.
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofCOMMUNICATIONS IN ALGEBRA
dc.subjectBetti numbers
dc.subjectCYCLES
dc.subjectMathematics
dc.subjectPath ideals
dc.subjectt-strongly disjoint set of bouquets
dc.titleBetti Numbers of Path Ideals of Trees
dc.typejournal article
dc.identifier.doi10.1080/00927872.2016.1172597
dc.identifier.isiISI:000380151600020
dc.description.volume44
dc.description.issue12
dc.description.startpage5376
dc.description.endpage5394
dc.contributor.orcid0000-0003-4574-4380
dc.contributor.orcid0000-0001-6876-0776
dc.contributor.researcheridAAD-4758-2021
dc.contributor.researcheridAAD-4557-2021
dc.identifier.eissn15324125
dc.publisher.place530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA
dcterms.isPartOf.abbreviationCommun. Algebr.
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