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In this course, we’ll learn about the basic concepts of graph theory and how to represent graphs as data structures in code

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Here is what you will Learn from Learn Graph Algorithms in C++

1. Introduction

1. Introduction to Graph Algorithms
2. Directed and Undirected Graphs
3. Graph Terminology I
4. Graph Terminology II
5. Weighted Graphs

2. Graph Representations

1. Adjacency Matrix
2. Adjacency List
3. Representing Weighted Graphs
4. Comparison of Graph Representations
5. Quiz: Graph Representations
6. Challenge: Converting Graph Representations

3. Graph Traversal

1. Depth-first Search (DFS)
2. Implementation of DFS
3. Breadth First Search (BFS)
4. Implementation of BFS
5. Application 1: Topological Sort

4. Shortest Paths

1. Shortest Path Problems
2. Dijkstra’s Algorithm for the SSSP
3. Implementation of Dijkstra
4. Floyd-Warshall Algorithm for the ASSP
5. Implementation of Floyd-Warshall

5. Spanning Trees

1. The Minimum Spanning Tree Problem
2. Kruskal’s Algorithm
3. Implementation of Kruskal’s Algorithm
4. Quiz: Spanning Trees
5. Challenge: Maximum Spanning Trees

6. Flow Problems

1. The Max Flow Problem
2. The Ford-Fulkerson Method
3. Max Flow = Min Cut
4. Implementation of Ford Fulkerson (Edmonds-Karp)
5. Quiz: Flow Problems

7. Conclusion

Recap and Next Steps

8. Appendix

Disjoint Set Union Data Structure