131 citations · 179 across the 2 of their papers we have counts for
2 papers
math.AC2005★ 48 cited
The Betti numbers of forests
Sean Jacques, Mordechai Katzman
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…
math.AC2004★ 131 cited
Betti Numbers of Graph Ideals
Sean Jacques
In this thesis we investigate certain types of monomial ideals of polynomial rings over fields. We are interested in minimal free resolutions of these ideals (or equivalently the q…