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arXiv · 1312.7094

The Markov chain tree theorem and the state reduction algorithm in commutative semirings

Buket Benek Gursoy·Steve Kirkland·Oliver Mason·Sergei Sergeev
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Abstract

We extend the Markov chain tree theorem to general commutative semirings, and we generalize the state reduction algorithm to commutative semifields. This leads to a new universal algorithm, whose prototype is the state reduction algorithm which computes the Markov chain tree vector of a stochastic matrix.

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Buket Benek Gursoy, Steve Kirkland, Oliver Mason, Sergei Sergeev. 2013-12-26. The Markov chain tree theorem and the state reduction algorithm in commutative semirings. https://doi.org/10.1016/j.laa.2014.06.028

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