Advanced Algorithms (Graph Algorithms) in Java

🚀 Course Title: Advanced Algorithms (Graph Algorithms) in Java

🎓 Course Headline: Master Graph Traversals, Shortest Paths, Spanning Trees, and Maximum Flow with Java!

👩‍🏫 About the Course:

This comprehensive course delves into the realm of advanced algorithms, specifically focusing on graph algorithms. You'll explore the inner workings of graph traversal, shortest path problems, spanning trees, and maximum flow problems—their applications range from Google's Web Crawler to exploiting opportunities in the stock market.

Whether you're a software engineer, data scientist, or a computer science enthusiast, this course will equip you with the knowledge and skills to tackle complex problems using graph-based algorithms in Java.

📚 Course Structure:

Section 1 - Graphs Theory Basics:

• Understanding G(V,E) graphs
• Exploring adjacency matrix and adjacency list representations

Section 2 - Graph Traversal (Breadth-First Search):

• Unraveling the concept of BFS
• Implementing BFS for WebCrawling in search engines

Section 3 - Graph Traversal (Depth-First Search):

• Exploring DFS and its implementation through recursion
• Applications of DFS: Topological ordering, cycle detection, and solving mazes

Section 4 - Topological Ordering:

• Delving into topological ordering in Directed Acyclic Graphs (DAGs)
• Applying topological sort for shortest and longest path methods
• Exploring critical path methods in project management

Section 5 - Cycle Detection:

• Identifying cycles within a graph
• Understanding forward edges, backward edges, and cycle detection algorithms like Tarjan's algorithm

Section 6 - Dijkstra's Shortest Path Algorithm:

• Defining the shortest path in a graph
• Learning Dijkstra's algorithm for finding the shortest path

Section 7 - Bellman-Ford Shortest Path Algorithm:

• Discovering the Bellman-Ford algorithm and its use in handling negative cycles
• Identifying arbitrage opportunities on FOREX markets

Section 8 - Spanning Trees (Kruskal and Prim's Algorithms):

• Understanding spanning trees and their importance
• Implementing Kruskal's and Prim's algorithms using the union find data structure

Section 9 - Strongly Connected Components (SCCs):

• Analyzing SCCs with Kosaraju's and Tarjan's algorithms

Section 10 - Eulerian Paths:

• Exploring Eulerian paths and cycles, including the Hierholzer algorithm for solving the Chinese Postman Problem

Section 11 - Algorithms Analysis:

• Learning how to measure running time with O(1), O(logN), O(N) notations
• Understanding complexity classes P and NP
• Analyzing polynomial time algorithms and their implications

🕒 Course Duration & Materials:

The course is designed to take approximately 11 hours to complete. However, for a solid understanding of the algorithms, it's recommended that you practice typing them out multiple times. All source code for the entire course will be made available for download at the last lecture.

🎓 Who Should Take This Course?

This course is ideal for anyone interested in deepening their knowledge of advanced algorithms, particularly those related to graphs. Whether you're a software developer, an engineer, or simply a computer science aficionado, the concepts and techniques covered in this course will be invaluable in your problem-solving endeavors across various fields, including software engineering and scientific research.

🤝 Get Started!

Join us on this exciting journey through the world of graph algorithms with Java. Let's unlock the potential of complex data structures and uncover efficient solutions to real-world problems together! 🚀