University of Cambridge > Talks.cam > Algorithms and Complexity Seminar > Monotone Circuit Complexity of Matching

Monotone Circuit Complexity of Matching

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We show that the perfect matching function on $n$-vertex graphs requires monotone circuits of size $2}$. This improves on the $n{\Omega(\log n)}$ lower bound of Razborov (1985). Our proof uses the standard approximation method together with a new sunflower lemma for matchings.

This talk is part of the Algorithms and Complexity Seminar series.

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