Brown's Theorem and its Application for Enumeration of Dissections and Planar Trees

  • Evgeniy Krasko
  • Alexander Omelchenko
DOI: https://doi.org/10.37236/4129
Keywords: planar dissections, plane trees, enumeration

Abstract

We present new functional equations connecting the counting series of plane and planar (in the sense of Harary and Palmer) dissections. Simple rigorous expressions for counting symmetric $r$-dissections of polygons and planar $S$-dissections are obtained.
Published
2015-01-27
How to Cite
Krasko, E., & Omelchenko, A. (2015). Brown’s Theorem and its Application for Enumeration of Dissections and Planar Trees. The Electronic Journal of Combinatorics, 22(1), P1.17. https://doi.org/10.37236/4129
Issue
Volume 22, Issue 1 (2015)
Article Number
P1.17