Network Flow Algorithms: Ford-Fulkerson and Edmonds-Karp in C++

Network flow optimization is a cornerstone of computer science, powering everything from routing algorithms to matchmaking systems. Understanding how to solve these problems programmatically is essential for any aspiring software engineer or computer scientist. In this course, you will learn how to transition from theoretical graph concepts to working code. You will build a solid foundation in flow networks, residual graphs, and augmenting paths, culminating in a clean, modern C++ implementation of the Edmonds-Karp algorithm. What you'll learn: - Understand the core concepts of network flow, capacities, and bottlenecks - Explore the theoretical foundation of the Ford-Fulkerson method - Implement Breadth-First Search (BFS) to find augmenting paths efficiently - Build the Edmonds-Karp algorithm using modern C++ best practices - Manage residual networks and update capacities programmatically - Analyze the time and space complexity of max flow solutions You will start with key terminology, basic graph representation, and foundational definitions before moving into step-by-step implementation and optimization techniques. This course is designed for beginners to graph algorithms who have a basic understanding of C++ and want to master network flow concepts through clear, written explanations and code exercises. Start reading today to unlock the power of network flow optimization.