Use of MAX-CUT for Ramsey Arrowing of Triangles

@article{Lange2012UseOM,
  title={Use of MAX-CUT for Ramsey Arrowing of Triangles},
  author={Alexander Lange and Stanislaw P. Radziszowski and Xiaodong Xu},
  journal={CoRR},
  year={2012},
  volume={abs/1207.3750}
}
In 1967, Erdős and Hajnal asked the question: Does there exist a K4-free graph that is not the union of two triangle-free graphs? Finding such a graph involves solving a special case of the classical Ramsey arrowing operation. Folkman proved the existence of these graphs in 1970, and they are now called Folkman graphs. Erdős offered $100 for deciding if one exists with less than 10 vertices. This problem remained open until 1988 when Spencer, in a seminal paper using probabilistic techniques… CONTINUE READING
3 Citations
26 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 26 references

Research problem 2–5

  • Paul Erdős, András Hajnal
  • Journal of Combinatorial Theory,
  • 1967
Highly Influential
5 Excerpts

Radziszowski and Xiaodong Xu . On the Most Wanted Folkman Graph

  • Marcus Schaefer
  • Geombinatorics
  • 2007

Similar Papers

Loading similar papers…