Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that the 2-local Ramsey number R 2-loc (nC 4 ) is equal to R(nC 4 ). Moreover, R 2-loc (nC 2k+1 ) = n(4k + 3) - 2 for k ≥ 2 or n ≥ 2 and R 2-loc (k(C 3  U C 4 )) = 15k - 2 for k ≥ 1.
['Halina Bielak']
I am writing a research paper on a idea Local Ramsey numbers for copies of cycles
[{"from": "human", "value": "I am writing a research paper on a idea Local Ramsey numbers for copies of cycles"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  prove that the 2-local Ramsey number R 2-loc (nC 4 ) is equal to R(nC 4 ). Moreover, R 2-loc (nC 2k+1 ) = n(4k + 3) - 2 for k \u2265 2 or n \u2265 2 and R 2-loc (k(C 3  U C 4 )) = 15k - 2 for k \u2265 1."}]