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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the importance of Ramanujan graphs, focusing on mathematical patterns, generating functions, and the concept of non-backtracking walks. It explores the building blocks of cycles and ways of combining nodes, as well as the behavior of graphs on expander graphs. The instructor discusses the relationship between Ramanujan graphs and certain NP-hard problems, highlighting their solvability on expander graphs. The lecture also delves into the concept of belief negotiation and coding theory, emphasizing the significance of expanders as worst-case scenarios for embedding. Additionally, it touches on the continuous and discrete distance properties of graphs.