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Computational aspects of the Combinatorial Nullstellensatz method via a polynomial approach to matrix and hypermatrix algebra

Algebra & Discrete Mathematics

Speaker: Dr. Edinah K. Gnang, IAS (Institute for Advanced Studies Princeton)
Location: 212 MSB
Start time: Mon, Jun 2 2014, 12:10PM

In this talk we discuss a polynomial encoding which provides a unified framework for discussing the algebra and the spectral analysis of matrices and hypermatrices. In addition to describing some algorithms for performing orthogonalization and spectral analysis of hypermatrices, we discuss some computational aspects, more specifically the important role of symmetries in Alon’s Combinatorial Nullstellensatz method for solving combinatorial problems.