3 citations · 8 across the 12 of their papers we have counts for
3 papers · 1 filter
Partition and Cohen-Macaulay Extenders
Joseph Doolittle, Bennet Goeckner, Alexander Lazar
If a pure simplicial complex is partitionable, then its -vector has a combinatorial interpretation in terms of any partitioning of the complex. Given a non-partitionable complex…
Combinatorial Inscribability Obstructions for Higher-Dimensional Polytopes
Joseph Doolittle, Jean-Philippe Labbé, Carsten E. M. C. Lange +3
For -dimensional convex polytopes, inscribability is a classical property that is relatively well-understood due to its relation with Delaunay subdivisions of the plane and hype…
Minimal Cohen-Macaulay Simplicial Complexes
Hailong Dao, Joseph Doolittle, Justin Lyle
We define and study the notion of a minimal Cohen-Macaulay simplicial complex. We prove that any Cohen-Macaulay complex is shelled over a minimal one in our sense, and we give suff…