The Central Component of a Triangulation
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115
We define the central component of a triangulation of a regular convex
polygon as the diameter or triangle containing its geometric center.
This definition yields a new recursion relation for Catalan numbers,
which can be used to derive congruence relations. We generalize this
idea to k-angulations, giving congruences of k-Catalan numbers.
enumerate the triangulations that include a fixed vertex in their
Full version: pdf,
(Concerned with sequence
Received October 21 2012;
revised version received March 1 2013.
Published in Journal of Integer Sequences, March 9 2013.
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