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math.CO2026
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…
math.CO2025
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…