Algorithms' implementations in Python

The aim of this project is to implement some algorithms I've studied in Python, just for fun. ;)

selection

Algorithms for finding the kth smallest number in a list (the kth order statistic). This includes the cases of finding the minimum, maximum, and median elements.

• kth_by_extreme O(kn) # Select discarding smaller item k times
• kth_by_sorting O(nlogn) # Select kth smaller after sorting with mergesort
• kth_by_mom O(n) # Select kth smaller using the median of medians
• kth_by_quickselect O(n) # Select kth smaller using quick select

sorting

Algorithms for sorting - yep, I know Python's default sort method ;)

• mergesort O(nlogn)

data structures

• AVLTree # Adelson-Velskii and Landis proposal for Balanced Search Trees
• BinarySearchTree # Traditional Binary Search Tree (BST)
• HashTable # Example of Hash Table implementation (not using Python dict)
• MoveToFrontList # Move to front list, also known as MTF
• OptimalBinarySearchTree # Based on previously known frequencies of access of a pre-defined group of keys (CLRS)