2019/10/25 by Helmut Prodinger, Prodinger, Helmut
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Chemistry and Stereochemistry Studies #Combinatorics (math.CO) #FOS: Mathematics #History and advancements in chemistry
paper · pdf · doi:10.48550/arxiv.1910.11808
openalex publication_date 2019/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In \citeBaDeFePi96 the concept of nondecreasing Dyck paths was introduced. We continue this research by looking at it from the point of view of words, rational languages, planted plane trees, and continued fractions. We construct a bijection with planted plane trees of height ≤ 4 and compute various statistics on trees that are the equivalents of nondecreasing Dyck paths.