3 papers
math.CO2010
Convex-Ear Decompositions and the Flag h-Vector
Jay Schweig
We prove a theorem allowing us to find convex-ear decompositions for rank-selected subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then apply t…
math.CO2010
Toric Ideals of Lattice Path Matroids and Polymatroids
Jay Schweig
We show that the toric ideal of a lattice path polymatroid is generated by quadrics corresponding to symmetric exchanges, and give a monomial order under which these quadrics form…
math.AC2010
Borel generators
Christopher A. Francisco, Jeffrey Mermin, Jay Schweig
We use the notion of Borel generators to give alternative methods for computing standard invariants, such as associated primes, Hilbert series, and Betti numbers, of Borel ideals.…