Analysis of Algorithms Tutor-algorithm learning tool

Example

Explaining Big O notation through the analysis of quicksort versus bubble sort to illustrate the differences in their average and worst-case scenarios.

Scenario

A student preparing for a technical interview needs to understand how to evaluate the time complexity of different sorting algorithms. I provide a detailed comparison, including the derivation of their time complexities.

Example

Verifying the correctness of Dijkstra’s algorithm using loop invariants and demonstrating its application on sample graph problems.

Scenario

During a course assignment, a student needs to prove that Dijkstra's algorithm always finds the shortest path. I guide them through setting up appropriate loop invariants and how these maintain the correctness throughout the algorithm's execution.

Example

Detailed exploration of algorithms like Floyd-Warshall for finding shortest paths in a weighted graph, including pseudocode and complexity analysis.

Scenario

A student working on a project involving network routing simulations seeks to understand all-pairs shortest path algorithms. I provide a detailed walkthrough of Floyd-Warshall’s algorithm, discussing its dynamic programming approach and real-world applications.