Papers › Reinforcement learning for graph theory, II. Small Ramsey numbers

Reinforcement learning for graph theory, II. Small Ramsey numbers

29 Mar 2024arXiv:2403.20055links table onlyarchive 2025-07-28

Mohammad Ghebleh, Salem Al-Yakoob, Ali Kanso, Dragan Stevanović

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We describe here how the recent Wagner's approach for applying reinforcement learning to construct examples in graph theory can be used in the search for critical graphs for small Ramsey numbers. We illustrate this application by providing lower bounds for the small Ramsey numbers R(K_(2,5), K_(3,5)), R(B₃, B₆) and R(B₄, B₅) and by improving the lower known bound for R(W₅, W₇).

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