Abstract
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.
Original language | English |
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Pages (from-to) | 447-457 |
Number of pages | 11 |
Journal | Australasian Journal of Combinatorics |
Volume | 81 |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© The author(s).
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics