Graph Theory Fundamentals and Problem Solving

Graph theory forms the backbone of modern computer science, network analysis, and data modeling. This course provides a clear and structured introduction to graph concepts, helping you build a solid mathematical and algorithmic foundation. You will start by mastering foundational terminology and structural properties before moving on to practical problem-solving strategies. By the end of this course, you will confidently classify various graph types and apply fundamental graph algorithms to solve logic and data routing problems. What you'll learn: Understand essential graph terminology, including vertices, edges, degrees, and paths. Distinguish between directed, undirected, weighted, cyclic, and bipartite graphs. Represent graph structures using adjacency matrices and adjacency lists. Apply foundational traversal algorithms such as Breadth-First Search and Depth-First Search. Solve classic problems including finding shortest paths and detecting connectivity. Explore practical applications of graphs in social networks and routing systems. The course guides you step-by-step from core definitions and theoretical classifications to algorithm logic through clear written explanations and code snippets. Designed explicitly for beginners, no advanced mathematics or prior graph theory background is required. Start reading today to build essential theoretical and practical skills in graph theory.