Yet Another Mathblog

This is the third of a series of expository posts on matrix-theoretic sports ranking methods. This post discusses the random walker ranking.

We follow the presentation in the paper by Govan and Meyer (Ranking National Football League teams using Google’s PageRank). The table of “score differentials” based on the table in a previous post is:

$latex

begin{tabular}{c|cccccc}
verb+xy+ & Army & Bucknell & Holy Cross & Lafayette & Lehigh & Navy
hline
Army & 0 & 0 & 1 & 0 & 0 &…
Bucknell & 2 & 0 & 0 & 2 & 3 &…
Holy Cross & 0 & 3 & 0 & 4 & 14 &…
Lafayette & 10 & 0 & 0 & 0 & 0 &…
Lehigh & 2 & 0 & 0 & 11 & 0 &…
Navy & 11 & 14 & 8 & 22 & 6 &…
end{tabular}

$
This leads…

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