Foundations of Graph Theory for Computer Science

Graphs are the underlying structure behind social networks, routing protocols, recommendation engines, and modern database systems. Understanding how to model and manipulate relational data using graph theory is a critical skill for any aspiring developer or computer scientist. This course provides a clear, step-by-step pathway from fundamental definitions to practical algorithmic applications. You will start by learning core terminology, types of graphs, and standard representation methods like adjacency matrices and lists. From there, you will explore classic traversal algorithms and network flow concepts, building a strong conceptual foundation that prepares you to solve real-world engineering challenges. What you'll learn: - Understand core graph theory definitions, terminology, and structural properties - Represent graphs programmatically using adjacency matrices and adjacency lists - Implement fundamental search algorithms including depth-first and breadth-first search - Analyze shortest path problems using Dijkstra's and other classic routing algorithms - Explore modern applications of graph structures in network routing and database design - Practice modeling real-world relational problems as mathematical graphs This course begins with foundational concepts and definitions before progressing to algorithmic logic and structured problem-solving. It is designed specifically for beginners, requiring no prior background in advanced mathematics or algorithm design. Start your journey into network structures today.