Ramsey Number Lovasz Local Lemma 2三剑≤（使）-o() k,212 7 8 10 1111 1 1 1 1 1 2123 4 5 7 8 9 10 3136 9 14 18 23 28 36 40-43 4149 18 25 35-41 49-61 56-84 73-115 92-149 51514 25 43-49 58-87 80-143 101-216125-316 143-442 61618 35-4158-87 102-165113-298127-495 169-780 179-1171 71723 496180-143 113-298205-540216-1031233-1713 289-2826 81828 56-84101-216127-495216-1031282-1870317-3583 317-6090 91936 73-115125-316169-780233-1713317-3583565-6588580-12677 1011040-4392-149143-442179-1171289-2826317-6090580-12677798-23556Ramsey Number ￾ ￾ k2k/2 ⇥ ⇥ R(k, k) ⇥ ⇤2k ￾ 2 k ￾ 1 ⌅ = O ￾ 4k ￾ k Lovász Local Lemma ⇥