M. Shattuck

activity

20112026

most citedOn Multiple Pattern Avoiding Set Partitions

18 citations · 43 across the 34 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.CO2026

Distinct flattened partitions avoiding a pattern of length four

Toufik Mansour, Olivia Nabawanda, Mark Shattuck

Let $P_{n}$ denote the set of distinct permutations of length $n$ that arise from the flattening process applied to the partitions of $[n] = {1, \dots, n}$ . In this paper, w…

math.CO2026

Distribution of the inversion statistic on run-sorted permutations

Toufik Mansour, Olivia Nabawanda, Mark Shattuck

Let $π = π_{1} \dots π_{n}$ be a permutation. We say that $π$ is $r u n$ - $sor t e d$ if $π_{1} = 1$ and the entries immediately following the descent positions of $π$ form an increasing sequence.…