20 citations · 184 across the 28 of their papers we have counts for
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math.CO2012★ 16 cited
Bigraphical Arrangements
Sam Hopkins, David Perkinson
We define the bigraphical arrangement of a graph and show that the Pak-Stanley labels of its regions are the parking functions of a closely related graph, thus proving conjectures…
math.CO2012★ 4 cited
Pattern Avoidance in Poset Permutations
Sam Hopkins, Morgan Weiler
We extend the concept of pattern avoidance in permutations on a totally ordered set to pattern avoidance in permutations on partially ordered sets. The number of permutations on $P…