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Catalan Numbers with Applications$
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Thomas Koshy

Print publication date: 2008

Print ISBN-13: 9780195334548

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780195334548.001.0001

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Tress and Catalan Numbers

Tress and Catalan Numbers

Chapter:
(p.227) 8 Tress and Catalan Numbers
Source:
Catalan Numbers with Applications
Author(s):

Thomas Koshy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195334548.003.0008

This chapter presents delightful occurrences of Catalan numbers in the theory of trees. They include binary trees, full binary trees, planted trivalent binary trees, triangulations and prefix expressions, chessboard, ordered rooted trees, forest, and ordered forests.

Keywords:   connected graph, forest, binary tree, full binary tree, planted trivalent binary tree, prefix expression, chessboard, Catalan triangle, Bernhard's algorithm

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