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math.CO2018
Two first-order logics of permutations
Michael Albert, Mathilde Bouvel, Valentin Féray
We consider two orthogonal points of view on finite permutations, seen as pairs of linear orders (corresponding to the usual one line representation of permutations as words) or se…
math.CO2018★ 28 cited
Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers
Nicholas R. Beaton, Mathilde Bouvel, Veronica Guerrini +1
The first problem addressed by this article is the enumeration of some families of pattern-avoiding inversion sequences. We solve some enumerative conjectures left open by the foun…