3 papers
math.CO2026
On minimal pattern-containing inversion sequences
Benjamin Testart
We introduce the notion of minimal inversion sequences for a pattern , which form the smallest set of inversion sequences whose avoidance is equivalent to the avoidance of …
math.CO2025
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…
math.CO2025
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…