The Betti numbers of forests

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dc.creatorJacques, Sean
dc.creatorKatzman, Mordechai
dc.date2005-01-14
dc.date2005-02-17
dc.date.accessioned2026-07-07T05:16:05Z
dc.date.available2026-07-07T05:16:05Z
dc.descriptionThis paper produces a recursive formula of the Betti numbers of certain Stanley-Reisner ideals (graph ideals associated to forests). This gives a purely combinatorial definition of the projective dimension of these ideals, which turns out to be a new numerical invariant of forests. Finally, we propose a possible extension of this invariant to general graphs.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0501226
dc.identifierhttp://arxiv.org/abs/math/0501226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73859
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13F55; 13D02; 05C05; 05E99
dc.titleThe Betti numbers of forests
dc.typetext

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