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Algebraic Algorithms for the Recognition of Combinatorial Properties

Student-Run Discrete Math Seminar

Speaker: Mohamed Omar, UC Davis
Location: 3106 MSB
Start time: Thu, Oct 29 2009, 1:10PM

We study the systematic use of systems of non-linear polynomial equations to effectively detect properties of combinatorial objects such as 3-colorability, hamiltonicity, and automorphisms of graphs. We discuss four iterative algorithms based on elementary algebraic geometry. This is joint work with De Loera, Hillar, and Malkin.