Graph Theory Course
This course equips learners with foundational and advanced graph theory techniques to model, analyze, and interpret network structures in real-world applications, emphasizing practical algorithms, property testing, and clear communication of results.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This Graph Theory Course provides practical tools to model real networks as graphs, prepare clean data, and select appropriate representations. You will analyze structure using degrees, connectivity, paths, cliques, and bridges, then apply advanced topics such as colouring, matchings, planarity, and spectral concepts. Through focused algorithms and careful interpretation, you learn to test properties, validate results, and clearly communicate rigorous findings.
Elevify advantages
Develop skills
- Network modelling: turn real transport or social systems into precise graphs quickly.
- Graph algorithms: apply BFS, DFS, Dijkstra, and lowlink to analyze structure.
- Advanced properties: test planarity, colourings, matchings, and Hamiltonicity.
- Spectral insight: use adjacency and Laplacian matrices for quick connectivity checks.
- Rigorous reporting: translate graph metrics into clear, domain-ready conclusions.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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