Svante Linusson

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20242026

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4 papers · 1 filter

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…

math.CO2025

The $k$ -Plancherel measure and a Finite Markov Chain

Svante Linusson, Alperen Ãzdemir

Let $P_{k} (n)$ denote the set of partitions of $n$ whose largest part is bounded by $k,$ which are in well-known bijection with $(k + 1)$ -cores $C_{k}$ . We study a gr…

math.CO2024

Set-Valued Catalan Combinatorics

Alexander Lazar, Svante Linusson

Set-valued standard Young tableaux are a generalization of standard Young tableaux due to Buch (2002) with applications in algebraic geometry. The enumeration of set-valued SYT is…

math.CO2024

Enumerating 1324-avoiders with few inversions

Svante Linusson, Emil Verkama

We enumerate the numbers $A v_{n}^{k} (1324)$ of 1324-avoiding $n$ -permutations with exactly $k$ inversions for all $k$ and $n \geq (k + 7) /2$ . The result depends on a structural character…

Inversion monotonicity in subclasses of the 1324-avoiders

The k-Plancherel measure and a Finite Markov Chain

Set-Valued Catalan Combinatorics

Enumerating 1324-avoiders with few inversions

The $k$ -Plancherel measure and a Finite Markov Chain