Enumerations on polyominoes determined by fuss-catalan words

Toufik Mansour, José L. Ramírez

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)447-457
Number of pages11
JournalAustralasian Journal of Combinatorics
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© The author(s).

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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