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math.CO2022★ 2 cited
Restricted Birkhoff polytopes and Ehrhart period collapse
Per Alexandersson, Sam Hopkins, Gjergji Zaimi
We show that the polytopes obtained from the Birkhoff polytope by imposing additional inequalities restricting the "longest increasing subsequence" have Ehrhart quasi-polynomials w…
math.CO2022
Pattern-avoidance and Fuss-Catalan numbers
Per Alexandersson, Samuel Asefa Fufa, Frether Getachew +1
We study a subset of permutations, where entries are restricted to having the same remainder as the index, modulo some integer . We show that when also imposing the class…