Refutation of Spectral Graph Theory Conjectures with Monte Carlo Search

Roucairol, Milo, Cazenave, Tristan

arXiv.org Artificial Intelligence 

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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