ISSN 1234-3099 (print version)
ISSN 2083-5892 (electronic version)
SCImago Journal Rank (SJR) 2018: 0.763
Rejection Rate (2018-2019): c. 84%
Discussiones Mathematicae Graph Theory 16(2) (1996)
173-179 DOI: 10.7151/dmgt.1032
Department of Discrete Mathematics
Faculty of Mathematics and Computer Science
Adam Mickiewicz University Poznań, Poland
The paper gives an account of previous and recent attempts to determine the order of a
smallest graph not containing K5 and such that every 2-coloring of its edges
results in a monochromatic triangle. A new 14-vertex K4-free graph with the
same Ramsey property in the vertex coloring case is found. This yields a new construction
of one of the only two known 15-vertex (3,3)-Ramsey graphs not containing K5.
Keywords: Folkman numbers, Kn-free graphs, extremal graph theory,
generalized Ramsey theory.
1991 Mathematics Subject Classification: 05C55, 05C35.