20 citations · 184 across the 28 of their papers we have counts for
4 papers · 1 filter
Fourientation activities and the Tutte polynomial
Spencer Backman, Sam Hopkins, Lorenzo Traldi
A fourientation of a graph is a choice for each edge of the graph whether to orient that edge in either direction, leave it unoriented, or biorient it. We may naturally view fo…
The expected jaggedness of order ideals
Melody Chan, Shahrzad Haddadan, Sam Hopkins +1
The jaggedness of an order ideal I in a poset P is the number of maximal elements in I plus the number of minimal elements of P not in I. A probability distribution on the set of o…
Parking functions and tree inversions revisited
Petar Gaydarov, Sam Hopkins
Kreweras proved that the reversed sum enumerator for parking functions of length is equal to the inversion enumerator for labeled trees on vertices. Recently, Perkinson,…
Fourientations and the Tutte Polynomial
Spencer Backman, Sam Hopkins
A fourientation of a graph is a choice for each edge of the graph whether to orient that edge in either direction, leave it unoriented, or biorient it. Fixing a total order on the…