Jacques, S. and Katzman, M. (2005) The Betti numbers of forests. arXiv:math/0501226v2 [math.AC]. (Unpublished)
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.
|Copyright, Publisher and Additional Information:||© 2005 The Authors. Imported from arXiv|
|Institution:||The University of Sheffield|
|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|