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The Betti numbers of forests

Jacques, S. and Katzman, M. (2005) The Betti numbers of forests. arXiv:math/0501226v2 [math.AC]. (Unpublished)

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Abstract

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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2005 The Authors. Imported from arXiv
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 20 Nov 2009 10:31
Last Modified: 08 Feb 2013 16:59
Status: Unpublished
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10171

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