COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


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Mathematics Colloquium: From Perron-Frobenius to Google PageRank


4:10 pm, Neill Hall 5W

Jeff Stuart

Abstract: The Perron-Frobenius Theorem marks the start of 100 years of fruitful interaction between combinatorics and matrix theory. Among its many applications, the Perron-Frobenius Theorem provides a foundation for schemes for ranking players in tournaments and candidates in elections. More recently, the Perron-Frobenius Theorem has been employed in various web searching engines. In this talk, I will explain how graph- theoretic ideas have given power to what was originally an analytic result, and why many ranking schemes naturally lead us to need the Perron-Frobenius Theorem.