T. Mansour

collaborators

2 papers

math.CO2024

Avoidance of vincular patterns by Catalan words

Toufik Mansour, Mark Shattuck

Let $C_{n}$ denote the set of words $w = w_{1} \dots w_{n}$ on the alphabet of positive integers satisfying $w_{i + 1} \leq w_{i} + 1$ for $1 \leq i \leq n - 1$ with $w_{1} = 1$ . The members…

math.CO2016

Wilf classification of triples of 4-letter patterns

David Callan, Toufik Mansour, Mark Shattuck

We determine all 242 Wilf classes of triples of 4-letter patterns by showing that there are 32 non-singleton Wilf classes. There are 317 symmetry classes of triples of 4-letter pat…