Benjamin Testart

collaborators

4 papers

math.CO2026

Iterating the Lehmer code on inversion sequences: Catalan fixed points and finite stabilization

Julian Allagan, Shanzhen Gao, Benjamin Testart

We study an operator $Θ$ on finite integer sequences, where $Θ (σ)_{i}$ counts the entries to the left of $σ_{i}$ that are strictly smaller than $σ_{i}$ . This operator is a variant of the…

math.CO2026

On minimal pattern-containing inversion sequences

Benjamin Testart

We introduce the notion of minimal inversion sequences for a pattern $ρ$ , which form the smallest set of inversion sequences whose avoidance is equivalent to the avoidance of $ρ$ f…

math.CO2024

Generating trees growing on the left for pattern-avoiding inversion sequences

Benjamin Testart

This work concerns a construction of pattern-avoiding inversion sequences from right to left we call the generating tree growing on the left. We first apply this construction to in…

math.CO2024

Completing the enumeration of inversion sequences avoiding one or two patterns of length 3

Benjamin Testart

We present four constructions of inversion sequences, and use them to compute the enumeration sequences of 24 classes of pattern-avoiding inversion sequences. This completes the en…