Graph Theory for Genome Assembly: Gluing and Adjacency Matrices

Genome assembly relies on translating massive biological datasets into structured mathematical models. To understand how DNA sequences are reconstructed, you must master the underlying graph transformations that connect genomic fragments. This course teaches you how the gluing operation alters adjacency matrices in genome assembly, giving you a solid mathematical foundation in bioinformatics. What you'll learn: - Understand the fundamental role of graph theory in modern DNA sequencing - Represent genomic fragments using PathGraphs and De Bruijn graphs - Apply the gluing operation to merge graph vertices and track matrix changes - Analyze how adjacency matrices transform during sequence reconstruction - Explore modern computational challenges like handling large, sparse genomic matrices - Practice resolving assembly ambiguities through structured mathematical exercises You will start with the essential terminology of graph theory and bioinformatics before moving on to step-by-step matrix transformations. The course guides you from basic definitions to the formal mechanics of gluing operations used in real-world genome assembly pipelines. This course is designed for beginners in bioinformatics, computer science, or mathematical biology who want to understand the theoretical foundations of sequence assembly without needing advanced prior knowledge. Begin reading today to master the mathematical structures behind genomic reconstruction.