Ramsey's theorem is a foundational result in combinatorics which states that for any given number of colours and integers, there exists a number such that if the edges of a complete graph are coloured with those colours, it will contain a monochromatic subgraph. It was first proved by Frank Ramsey and has since been extended to any finite number of colours.
Stanford University
Fall 2022
This course dives into the use of randomness in algorithms and data structures, emphasizing the theoretical foundations of probabilistic analysis. Topics range from tail bounds, Markov chains, to randomized algorithms. The concepts are applied to machine learning, networking, and systems. Prerequisites indicate intermediate-level understanding required.
No concepts data
+ 37 more concepts