31 citations · 192 across the 28 of their papers we have counts for
12 papers · 1 filter
On Equivariant flag -vectors for balanced relative simplicial complexes
Jacob A. White
We study the equivariant flag -vector and equivariant flag -vector of a balanced relative simplicial complex with respect to a group action. When the complex satisfies Serre'…
Chromatic Quasisymmetric Class Functions for combinatorial Hopf monoids
Jacob A. White
We study the chromatic quasisymmetric class function of a linearized combinatorial Hopf monoid. Given a linearized combinatorial Hopf monoid , and an -structure on a set…
The Chromatic Quasisymmetric Class Function of a Digraph
Jacob A White
We introduce a quasisymmetric class function associated with a group acting on a double poset or on a directed graph. The latter is a generalization of the chromatic quasisymmetric…
On Cohen-Macaulay Hopf monoids in species
Jacob White
We study Cohen-Macaulay Hopf monoids in the category of species. The goal is to apply techniques from topological combinatorics to the study of polynomial invariants arising from c…
The Hopf monoid of Megagreedoids
Jacob A White
We introduce megagreedoids, which generalize polymatroids, megamatroids, and greedoids. We define a quasisymmetric function invariant for a megagreedoid, and show that it has a pos…
Coloring Complexes and Combinatorial Hopf Monoids
Jacob White
We generalize the notion of a coloring complex of a graph to linearized combinatorial Hopf monoids. We determine when a linearized combinatorial Hopf monoid has such a construction…