7 citations · 24 across the 13 of their papers we have counts for
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math.AC2011★ 7 cited
Generalizing the Borel property
Christopher A. Francisco, Jeffrey Mermin, Jay Schweig
We introduce the notion of Q-Borel ideals: ideals which are closed under the Borel moves arising from a poset Q. We study decompositions and homological properties of these ideals,…
math.AC2011★ 3 cited
Projective Dimension, Graph Domination Parameters, and Independence Complex Homology
Hailong Dao, Jay Schweig
We construct several pairwise-incomparable bounds on the projective dimensions of edge ideals. Our bounds use combinatorial properties of the associated graphs; in particular we dr…
math.AC2011
Bounds on the regularity and projective dimension of ideals associated to graphs
Hailong Dao, Craig Huneke, Jay Schweig
In this paper we give new upper bounds on the regularity of edge ideals whose resolutions are k-steps linear; surprisingly, the bounds are logarithmic in the number of variables. W…