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math.CO2021
Moments of permutation statistics and central limit theorems
Stoyan Dimitrov, Niraj Khare
We show that if a permutation statistic can be written as a linear combination of bivincular patterns, then its moments can be expressed as a linear combination of factorials with…
math.CO2021
Digraphs with exactly one Eulerian tour
Luz Grisales, Antoine Labelle, Rodrigo Posada +1
We give two combinatorial proofs of the fact that the number of loopless digraphs on the vertex set with no isolated vertices and with exactly one Eulerian tour up to a cycli…