37 citations · 313 across the 41 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.CO2020
Path-cordial abelian groups
Rebecca Patrias, Oliver Pechenik
A labeling of the vertices of a graph by elements of any abelian group induces a labeling of the edges by summing the labels of their endpoints. Hovey defined the graph to…
math.CO2020★ 16 cited
Gröbner geometry of Schubert polynomials through ice
Zachary Hamaker, Oliver Pechenik, Anna Weigandt
The geometric naturality of Schubert polynomials and their combinatorial pipe dream representations was established by Knutson and Miller (2005) via antidiagonal Gröbner degenerati…
math.CO2020★ 4 cited
Dynamics of plane partitions: Proof of the Cameron-Fon-Der-Flaass conjecture
Rebecca Patrias, Oliver Pechenik
One of the oldest outstanding problems in dynamical algebraic combinatorics is the following conjecture of P. Cameron and D. Fon-Der-Flaass (1995). Consider a plane partition i…