Tag stacks

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...

What Fraction of Push/Pop Sequences in a Stack Are Valid?

Say we have the numbers from 1 to \(N\) in sequence. We will do a random sequence of pushes and pops into a stack: \(N\) pushes and...

Stacks

A stack is a data structure for holding objects. It is a LIFO structure. It supports two operations: pop and push. pop returns (and...