In this paper we introduce the concept of s-Fuss-Catalan words. This new family of words generalizes the Catalan words (taking s = 1), which are a particular case of growth-restricted words. Here we enumerate the polyominoes or bargraphs associated with the s-Fuss-Catalan words according to the semiperimeter and area statistics. Additionally, we obtain combinatorial formulas to count the s-Fuss-Catalan bargraphs according of these statistics.
|Number of pages
|Australasian Journal of Combinatorics
|Published - 2021
Bibliographical notePublisher Copyright:
© The author(s).
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics