Recurrence relations for Dyck paths

Loading...
Do curso por National Research University Higher School of Economics
Introduction to Enumerative Combinatorics
44 ratings
National Research University Higher School of Economics
44 ratings
Na lição
A nonlinear recurrence: many faces of Catalan numbers
In this lecture we introduce Catalan numbers and discuss several ways to define them: via triangulations of a polygon, Dyck paths and binary trees. We also prove an explicit formula for Catalan numbers.

Conheça os instrutores

  • Evgeny Smirnov
    Evgeny Smirnov
    Associate Professor
    Faculty of Mathematics