Learn Graph Algorithms in C++

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.

Intermediate

42 Lessons

Certificate of Completion

AI-POWERED

Explanations

AI-POWERED

Explanations

This course includes

18 Playgrounds

5 Challenges

11 Quizzes

This course includes

18 Playgrounds

5 Challenges

11 Quizzes

Course Overview

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 s...Show More

What You'll Learn

Learn how graphs can be represented as data structures

Traverse graphs using search algorithms

Find the shortest paths in graphs

Find maximum matchings

Solve flow problems

Compute minimum spanning trees

What You'll Learn

Learn how graphs can be represented as data structures

Course Content

Introduction

Get familiar with fundamental graph concepts, key terminology, and algorithm efficiency analysis.

Introduction to Graph Algorithms

Directed and Undirected Graphs Graph Terminology I Graph Terminology II Weighted Graphs Excursion: Algorithm Analysis Quiz: Introduction to Graph Algorithms

Graph Representations

Discover the logic behind graph representations, including adjacency matrices, adjacency lists, and their comparisons.

Adjacency Matrix Adjacency List Representing Weighted Graphs Comparison of Graph Representations Quiz: Graph Representations Challenge: Converting Graph Representations

Graph Traversal

Work your way through DFS and BFS implementations, topological sort, SCCs, and bipartite graphs.

Depth-first Search (DFS)

Implementation of DFS Breadth First Search (BFS)Implementation of BFS Application 1: Topological Sort Application 2: Strongly Connected Components Implementation of Kosaraju's Algorithm Quiz: Graph Traversal Challenge: Bipartite Graph Check

Shortest Paths

Break down complex ideas on shortest path algorithms and their implementation techniques.

Shortest Path Problems Dijkstra's Algorithm for the SSSP Implementation of Dijkstra Floyd-Warshall Algorithm for the ASSP Implementation of Floyd-Warshall Quiz: Shortest Paths Challenge: Bellmann-Ford

Spanning Trees

Deepen your knowledge of minimum spanning trees, Kruskal's algorithm, and maximum spanning tree challenges.

The Minimum Spanning Tree Problem Kruskal's Algorithm Implementation of Kruskal's Algorithm Quiz: Spanning Trees Challenge: Maximum Spanning Trees

Flow Problems

6 Lessons

Focus on solving max flow problems, Ford-Fulkerson method, and bipartite matching challenges.

Conclusion

1 Lesson

Master the steps to understanding graph algorithms, solving fundamental problems, and exploring advanced topics.

Appendix

1 Lesson

Step through the Disjoint Set Union structure and its optimizations for dynamic connectivity.

Course Author

Trusted by 1.4 million developers working at companies

Anthony Walker

@_webarchitect_

Emma Bostian 🐞

@EmmaBostian

Evan Dunbar

ML Engineer

Carlos Matias La Borde

Software Developer

Souvik Kundu

Front-end Developer

Vinay Krishnaiah

Software Developer

Eric Downs

Musician/Entrepeneur

Kenan Eyvazov

DevOps Engineer

Anthony Walker

@_webarchitect_

Emma Bostian 🐞

@EmmaBostian

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