60 citations · 291 across the 64 of their papers we have counts for
4 papers · 2 filters
The radius of a subcategory of modules
Hailong Dao, Ryo Takahashi
We introduce a new invariant for subcategories X of finitely generated modules over a local ring R which we call the radius of X. We show that if R is a complete intersection and X…
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…
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…
Bounds on the Hilbert-Kunz Multiplicity
Olgur Celikbas, Hailong Dao, Craig Huneke +1
In this paper we give new lower bounds on the Hilbert-Kunz multiplicity of unmixed non-regular local rings, bounding them uniformly away from one. Our results improve previous work…