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 (Unpublished)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| Status: | Unpublished |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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