Refutation of Spectral Graph Theory Conjectures with Monte Carlo Search

4 Jul 2022  ·  Milo Roucairol, Tristan Cazenave ·

We demonstrate how Monte Carlo Search (MCS) algorithms, namely Nested Monte Carlo Search (NMCS) and Nested Rollout Policy Adaptation (NRPA), can be used to build graphs and find counter-examples to spectral graph theory conjectures in minutes.

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