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

✍ Scribed by Piwakowski, Konrad; Radziszowski, Stanisaw P.; Urba?ski, Sebastian

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 103 KB
Volume: 32
Category: Article
ISSN: 0364-9024
DOI: 10.1002/(sici)1097-0118(199909)32:1<41::aid-jgt4>3.0.co;2-p

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✦ Synopsis

With the help of computer algorithms, we improve the lower bound on the edge Folkman number F e (3, 3; 5) and vertex Folkman number F v (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.

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