Bioinformatics Algorithms: Generating Eulerian Cycles in Directed Graphs

Reassembling a genome from millions of short DNA fragments is one of the most critical challenges in modern bioinformatics. Graph theory, specifically finding Eulerian cycles in directed graphs, provides the mathematical engine to solve this puzzle. In this text-based course, you will transition from understanding basic graph concepts to implementing robust algorithms that find all Eulerian cycles. You will explore how bypass graphs resolve ambiguities in genome assembly, giving you the practical computational skills to solve complex sequence reconstruction problems. What you'll learn: Understand foundational graph theory terms, including directed graphs, node degrees, and Eulerian paths; Construct de Bruijn graphs from sequence data to model DNA fragments; Apply bypass graph concepts to resolve junctions and systematically generate all valid Eulerian cycles; Implement clean, type-hinted code to represent graphs and traverse paths; Analyze the algorithmic complexity and edge cases of cycle generation in genome assembly. The course begins with core terminology and graph representation before guiding you through the mathematics of bypass graphs and step-by-step algorithmic implementation. You will read clear explanations and study well-structured code examples designed to solidify your understanding. This course is designed for beginner bioinformatics enthusiasts, computer science students, and programmers interested in computational biology, with no prior background in genetics required. Start reading today to unlock the algorithms powering modern genomic discovery.