The Ramsey number for a triple of long even cycles

We show that for any real positive numbers α 1 , α 2 , α 3 the Ramsey number for a triple of even cycles of lengths 2 ⌊ α 1 n ⌋ , 2 ⌊ α 2 n ⌋ , 2 ⌊ α 3 n ⌋ , respectively, is (asymptotically) equal to ( α 1 + α 2 + α 3 + max { α 1 , α 2 , α 3 } + o ( 1 ) ) n .