2021/12/14 by Ruiyang Hu, Liang Jinlong, Hu, Ruiyang +15
Computer Science · Mathematics · #05C05: 16G20 #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2112.07609
openalex publication_date 2021/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is a largely expository paper in which we discuss various sets having a Catalan number of objects and some well-known bijections between these sets presented in a new and hopefully interesting way. We call these concepts "bookshelf" and "baseball" constructions. No knowledge of these topics is assumed. These are the final student papers for a course at Brandeis University.