Remarks on 15-vertex (3, 3)-Ramsey graphs not containing K5

نویسنده

  • Sebastian Urbanski
چکیده

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.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 16  شماره 

صفحات  -

تاریخ انتشار 1996