Abstract: The tree (hierarchical) structure is one of the elementary memory arrangements, used by numerous data structures – ranging from simple to relatively sophisticated ones. The most well-known ...

A Threaded Binary Tree improves binary tree traversal efficiency by replacing null pointers with in-order predecessor or successor links. This reduces stack usage and recursion overhead. Introduce a ...

How do you count rooted planar n n-ary trees with some number of leaves? For n = 2 n = 2 this puzzle leads to the Catalan numbers. These are so fascinating that the combinatorist Richard Stanley wrote ...

This file demonstrates an array-based implementation of a binary search tree. It: Uses a pre-populated sorted array to represent the binary tree Implements a recursive binary search algorithm Counts ...

Now that we’re getting into more complex data structures, having more complex operations, it’s helpful to have a tool for visualization. Here’s a tool developed by David Galles, formerly of University ...

ABSTRACT: In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a ...

Merkle trees, also known as hash trees or binary hash trees, are tree-like data structures used in computer science. They are named after their inventor, Ralph Merkle, who proposed the concept in 1979 ...