# Ramsey numbers of connected 4-clique matching

We determine the exact value of the 2-color Ramsey number of a connected 4-clique matching ๐(nK_4) which is a set of connected graphs containing n disjoint K_4. That is, we show that R_2(๐(nK_4)) = 13n-3 for any positive integer n โฅ 3. The result is an extension of the result by (Roberts, 2017) which gave that result when nโฅ 18. We also show that the result still holds when n=2 provided that R_2(2K_4) โค 23.

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