7 citations · 24 across the 13 of their papers we have counts for
6 papers · 1 filter
Simplicial complexes with many facets are vertex decomposable
Anton Dochtermann, Ritika Nair, Jay Schweig +2
Suppose is a pure simplicial complex on vertices having dimension and let be its codimension in the simplex. Terai and Yoshida proved that if the number of…
A broad class of shellable lattices
Jay Schweig, Russ Woodroofe
We introduce a new class of lattices, the modernistic lattices, and their duals, the comodernistic lattices. We show that every modernistic or comodernistic lattice has shellable o…
Balanced Non-Transitive Dice
Alex Schaefer, Jay Schweig
We study triples of labeled dice in which the relation "is a better die than" is non-transitive. Focusing on such triples with an additional symmetry we call "balance," we prove th…
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…
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…
Several Convex-Ear Decompositions
Jay Schweig
In this paper we give convex-ear decompositions for the order complexes of several classes of posets, namely supersolvable lattices with non-zero Mobius functions and rank-selected…