English

Binary trees using the bookshelf and baseball constructions

Combinatorics 2021-12-15 v1 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2112.07609,
  title  = {Binary trees using the bookshelf and baseball constructions},
  author = {Ruiyang Hu and Liang Jinlong and Bradley Kaplan and Zhaonan Li and Serra Pelin and Michael Richard and Yicheng Tao and Max Weinstein and Kiyoshi Igusa},
  journal= {arXiv preprint arXiv:2112.07609},
  year   = {2021}
}

Comments

49 pages (several blank), 12 figures