Graph Algorithms: From BFS and DFS to Network Flows

Understanding how data points connect is fundamental to solving complex software engineering and network routing problems. This text-based guide helps you demystify graph theory and implement critical traversal algorithms from scratch. By reading this course, you will transition from a basic understanding of data structures to confidently analyzing, traversing, and optimizing complex network graphs using modern programming practices. What you'll learn: Understand foundational graph terminology, representations, and basic properties; Implement Breadth-First Search (BFS) and Depth-First Search (DFS) using modern, type-hinted code; Identify critical vulnerabilities in networks by finding bridges and articulation points; Solve complex routing and capacity problems using network flow algorithms; Apply clean coding standards and basic testing patterns to verify your graph implementations. The course begins with foundational graph concepts and representations, transitions into core traversal techniques, and progresses to advanced network analysis and flow optimization through structured written lessons and code walk-throughs. This course is designed for beginner programmers, computer science students, and self-taught developers looking to build a strong foundation in graph algorithms. No prior graph theory knowledge is required. Start reading today to build a solid foundation in graph theory and algorithms.