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math.CO2024
Rowmotion on the chain of V's poset and whirling dynamics
Matthew Plante, Tom Roby
Given a finite poset , we study the _whirling_ action on vertex-labelings of with the elements . When such labelings are (weakly) order-reversing, we ca…
math.CO2021
Rowmotion on fences
Sergi Elizalde, Matthew Plante, Tom Roby +1
A fence is a poset with elements F = {x_1, x_2, ..., x_n} and covers x_1 < x_2 < ... < x_a > x_{a+1} > ... > x_b < x_{b+1} < ... where a, b, ... are positive integers. We investiga…
math.CO2015★ 2 cited
Counting Anosov graphs
Meera Mainkar, Matthew Plante, Ben Salisbury
In recent work by Dani and Mainkar, a family of finite simple graphs was used to construct nilmanifolds admitting Anosov diffeomorphisms. Our main object of study is this particula…