Tag binary trees

Generating All the Catalan Sequences

Given \(N\), how do I generate all the valid push/pop sequences (or draw all the trees)? I’ll generate the sequence of 1’s and 0’s....

Equivalence of The Number of Valid Push/Pop Sequences and the number of Binary Trees

We showed that the number of binary trees with \(N\) nodes is the Catalan numbers. It is also the number of valid push/pop sequences for...

Number of Binary Trees of Size \(n\)

Problem How many bits are needed to represent a binary tree with \(n\) nodes? A lower bound is given by the fact that \(m\) bits can...