Graph Theory and Algorithms in Elixir with libgraph

Graph structures are fundamental to solving complex real-world problems, from social networks to routing algorithms. This course provides a clear, text-based path to mastering graph theory concepts and implementing them practically using Elixir. You will start with the fundamental terminology of vertices, edges, and directed versus undirected graphs before writing a single line of code. Through structured, step-by-step written explanations and clean code snippets, you will transition from basic concepts to building dynamic graph structures and generating connected random networks. You will also learn to write robust test suites to verify your graph topologies and ensure your data structures remain consistent and reliable. What you'll learn: - Understand core graph theory concepts, terminologies, and representations - Construct directed and undirected graphs using the libgraph library in Elixir - Generate connected random graphs using custom builder functions - Traverse and query graph structures to extract paths and relationships - Write comprehensive unit tests with ExUnit to validate graph properties and constraints - Implement modern Elixir patterns, including type specifications and robust error handling The course begins with foundational definitions and moves progressively into graph generation, algorithm implementation, and testing strategies. It is designed entirely as a readable, code-focused guide with no video or audio elements, allowing you to learn at your own pace. This course is designed for beginner to intermediate Elixir developers who want to expand their data structure toolkit. No prior experience with graph theory is required, though a basic familiarity with Elixir syntax is helpful. Start reading today to master graph representation and testing in Elixir.