SC 2015 Semilab: Graphs, Paths, Walks, and Games

by Nikita Nekrasov

We are surrounded by sets. We belong to sets. What are sets? We will first learn about sets, then move on to graphs. We shall learn how intelligent or artificially intelligent electricians, elementary particle physicists, knot masters, spiders, pipeline engineers and learning machines use graphs in their life. We shall draw paths on graphs, take random walks, count them, explore melting crystalls and even peek into the bubbling quantum space-time foam.

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