2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the multicolour Ramsey numbers
Bruno Andrades, Marcelo Campos, Robert Morris
In this paper we determine the Ramsey number up to a constant factor, showing that The proof of the lower bound com…
On the Erdős-Rogers function
Robert Morris, Julian Sahasrabudhe, Jacques Verstraëte
We show that the Erdős-Rogers function satisfies for every . More precisely, we construct a -free graph on…
Some recent results in Ramsey theory
Robert Morris
The purpose of this survey is to provide a gentle introduction to several recent breakthroughs in graph Ramsey theory. In particular, we will outline the proofs (due to various gro…
Random cliques in random graphs revisited
Robert Morris, Oliver Riordan
We study the distribution of the set of copies of some given graph in the random graph , focusing on the case when . Our main results capture the 'leading term…
Upper bounds for multicolour Ramsey numbers
Paul Balister, Béla Bollobás, Marcelo Campos +5
The -colour Ramsey number is the minimum such that every -colouring of the edges of the complete graph on vertices contains a monochroma…
Independent sets in hypergraphs
József Balogh, Robert Morris, Wojciech Samotij
Many important theorems in combinatorics, such as Szemerédi's theorem on arithmetic progressions and the Erdős-Stone Theorem in extremal graph theory, can be phrased as statements…