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We prove an upper bound for the Ramsey number of the disjoint union of odd cycles generalizing a result of Denley [The Ramsey numbers for disjoint unions of cycles, Discrete Math. 149 (1996) 31–44]. Moreover, we study the relation between the 2-local Ramsey number R2-loc(G) and the Ramsey number R(G), where G is a disjoint union of odd cycles. We give the exact value of the 2-local Ramsey number in...
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