Essays about: "Catalan numbers"

Found 1 essay containing the words Catalan numbers.

  1. 1. Friezes, Triangulations, and Trees

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Yijia Zeng; [2023]
    Keywords : Frieze pattern; polygon triangulation; binary tree; Catalan numbers; Mathematics and Statistics;

    Abstract : In this thesis, we focus on these three classes of objects: frieze patterns, polygon triangulations, and planar binary rooted trees. After proving that these objects are in pairwise bijective correspondence with each other, we introduce Catalan numbers through Dyck paths and prove that all these objects are Catalan objects. READ MORE