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Bibliographic Details
Main Authors: James, David, Kahan, Elisha, Rauer, Erik
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.02590
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Table of Contents:
  • We settle the Ramsey problem $R(K_6 - e, K_4)$, also known as $R(J_6, K_4)$ and $R(K_6^-, K_4)$. Previously, the best bounds were $30 \leq R(K_6 - e, K4) \leq 32$. We prove that $R(K_6 - e, K_4) = 30$. Our technique is based on the recent approach of Angeltveit and McKay and on older algorithms of McKay and Radziszowski.