The Bradley--Terry condition is $L_1$--testable

Published 16 Sep 2016 in math.CO | (1609.05194v1)

Abstract: 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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