Highly Influenced

@article{Mubayi2004AnEC, title={An Explicit Construction for a Ramsey Problem}, author={Dhruv Mubayi}, journal={Combinatorica}, year={2004}, volume={24}, pages={313-324} }

- Published 2004 in Combinatorica
DOI:10.1007/s00493-004-0019-6

An explicit coloring of the edges of Kn is constructed such that every copy of K4 has at least four colors on its edges. As n → ∞, the number of colors used is n. This improves upon the previous bound of O(n) due to Erdős and Gyárfás obtained by probabilistic methods. The exponent 1/2 is optimal, since it is known that at least Ω(n) colors are required in such a coloring. The coloring is related to constructions giving lower bounds for the multicolor Ramsey number rk(C4). It is more complicated… CONTINUE READING