Ranking National Football League teams using Google's PageRank.

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Ranking National Football League teams using Google’s PageRank. Google’s ranking algorithm. Google Matrix. ◮ Hyperlink Matrix H { ◮ 1/|i| there is a link from i to j H(i, j) = 0 otherwise ◮ Stochastic matrix S ◮ Obtained by modifying matrix H. ◮ Replace the zero rows of H with (1/n)e T , where e is a column vector of ones. ◮ Google Matrix G. ◮ Convex combination: G = αS + (1 − α)ev T , α ∈ (0, 1) and v T > 0 ◮ Personalization vector v.
Ranking National Football League teams using Google’s PageRank. Google’s ranking algorithm. PageRank vector π. ◮ G is the transition probability matrix. ◮ G is irreducible (and aperiodic). ◮ π is the stationary probability distribution vector. ◮ π is unique (up to a scalar multiple).
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Ranking National Football League teams using Google's PageRank.

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