Ask a Question

Prefer a chat interface with context about you and your work?

On the Ramsey multiplicity of complete graphs

On the Ramsey multiplicity of complete graphs

We show that, for n large, there must exist at least $$\frac{{n^t }} {{C^{(1 + o(1)t^2 } )}}$$ monochromatic K t s in any two-colouring of the edges of K n , where C≈2.18 is an explicitly defined constant. The old lower bound, due to Erdős [2], and based upon …