Proves the exact Ramsey number R^arith_2 equals 9 for monochromatic triples in E_n of B_n and establishes 2^{δn+o(n)} ≤ M^arith_2(B_n) ≤ 2^{γn+o(n)} with explicit entropy constants δ≈1.356779 and γ≈1.567837.
Patk´ os, Anti-Ramsey forbidden poset problems, arXiv:2603.10610v2 [math.CO], 2026
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Multiplicity for partially ordered sets
Proves the exact Ramsey number R^arith_2 equals 9 for monochromatic triples in E_n of B_n and establishes 2^{δn+o(n)} ≤ M^arith_2(B_n) ≤ 2^{γn+o(n)} with explicit entropy constants δ≈1.356779 and γ≈1.567837.