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Pigeons, Parties, and Arithmetic Progressions: A Colorful Walk Through Ramsey Theory
Student-Run Discrete Math Seminar| Speaker: | Matthew Stamps, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Oct 16 2008, 1:10PM |
This talk is meant to be a friendly introduction to Ramsey theory, a field often associated with extremal graph theory. The basic question we consider is for a graph G, how large must a complete graph on n vertices be in order to guarantee that any edge coloring with m colors yields a monochromatic G. I aim to introduce a number of such results along with an application to number theory.