Computation of the Folkman numberFe(3, 3; 5)

Konrad Piwakowski, Stanisaw P. Radziszowski, Sebastian Urba?ski · Journal of Graph Theory · 1999

With the help of computer algorithms, we improve the lower bound on the edge Folkman number Fe(3, 3; 5) and vertex Folkman number Fv(3, 3; 4), and, thus, show that the exact values of these numbers are 15 and 14, respectively. We also present computer enumeration of all critical graphs. © 1999 John Wiley & Sons, Inc. J Graph Theory 32: 41–49, 1999

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