The Betti numbers of forests

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This 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.
12 pages

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Commutative Algebra, Combinatorics, 13F55; 13D02; 05C05; 05E99

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http://salesiana.dossiersoluciones.com/handle/123456789/73859

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501226
 http://arxiv.org/abs/math/0501226

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arXiv