Anders Claesson

activity

20082026

most cited(2+2)-free posets, ascent sequences and pattern avoiding permutations

139 citations · 139 across the 8 of their papers we have counts for

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Showing 2026 · math.COShow all

3 papers · 2 filters

math.CO2026

Finiteness theorems for Cayley permutation classes

Giulio Cerbai, Anders Claesson

We prove that every hereditary Cayley permutation class with finitely many simple members has a finite basis and an algebraic generating function. We first show that every simple C…

math.CO2026

The species of interval orders

Anders Claesson

We show that, in the ring of virtual species, \[ \mathcal{I}=\sum_{m\geq 0}(-1)^m\prod_{i=1}^{m}\bigl((E^{-1})^i-1\bigr), \] where $I$ is the species of interval orders a…

math.CO2026

Inversion monotonicity in subclasses of the 1324-avoiders

Anders Claesson, Svante Linusson, Henning Ulfarsson +1

A collection $B$ of patterns is called inversion monotone if $av_{n}^{k} (B)$ , the number of $B$ -avoiding permutations of length $n$ with $k$ inversions, is weakly increasing i…