28 citations · 37 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Semi-Baxter and strong-Baxter: two relatives of the Baxter sequence
Mathilde Bouvel, Veronica Guerrini, Andrew Rechnitzer +1
In this paper, we enumerate two families of pattern-avoiding permutations: those avoiding the vincular pattern , which we call semi-Baxter permutations, and those avoiding…
Fighting Fish: enumerative properties
Enrica Duchi, Veronica Guerrini, Simone Rinaldi +1
Fighting fish were very recently introduced by the authors as combinatorial structures made of square tiles that form two dimensional branching surfaces. A main feature of these fi…
Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences
Nicholas R. Beaton, Mathilde Bouvel, Veronica Guerrini +1
We provide a new succession rule (i.e. generating tree) associated with Schröder numbers, that interpolates between the known succession rules for Catalan and Baxter numbers. We de…