Explore the basics of graph theory, learn to represent graphs in C++, and master essential algorithms like DFS and Dijkstra to solve complex optimization problems, including matching and network flow.

Graph algorithms are the core of many real-world applications of computer science,  such as automotive navigation or routing in computer networks. They’re also a common subject in coding interviews at top-tier tech companies.
 
In this course, we’ll learn about the basic concepts of graph theory and how to represent graphs as data structures in code. We’ll study essential graph algorithms such as depth-first search or Dijkstra's algorithm to traverse graphs and find shortest paths. Finally, we’ll learn to solve more complex optimization problems on graphs, such as matching and network flow problems.

Learn Graph Algorithms in C++

The second important traversal algorithm for graphs is breadth-first search (BFS). The main concept of BFS is that the closest not yet explored node is explored first. This is exactly the opposite strategy compared to DFS.

## Explanation of BFS

Let’s execute the BFS algorithm on an example graph as we did for DFS.



The second important traversal algorithm for graphs is breadth-first search (BFS). The main concept of BFS is that the closest not yet explored node is explored first. This is exactly the opposite strategy compared to DFS.

# Explanation of BFS

Let’s execute the BFS algorithm on an example graph as we did for DFS.



Discover how to traverse graphs using breadth first search.

Introduction

Graph Representations

Graph Traversal

Shortest Paths

Spanning Trees

Flow Problems

Conclusion

Appendix

Breadth First Search (BFS)

Explanation of BFS