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arxiv: 1609.05194 · v1 · pith:ZOC7466Gnew · submitted 2016-09-16 · 🧮 math.CO

The Bradley--Terry condition is L₁--testable

classification 🧮 math.CO
keywords algorithmbradley--terryapproximatedcannotcaseschainconditionconstant
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We provide an algorithm with constant running time that given a weighted tournament $T$, distinguishes with high probability of success between the cases that $T$ can be represented by a Bradley--Terry model, or cannot even be approximated by one. The same algorithm tests whether the corresponding Markov chain is reversible.

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