105 citations · 304 across the 45 of their papers we have counts for
60 papers
An exponential improvement for diagonal Ramsey
Marcelo Campos, Simon Griffiths, Robert Morris +1
The Ramsey number is the minimum such that every red-blue colouring of the edges of the complete graph on vertices contains a monochromatic copy…
A lower bound for set-colouring Ramsey numbers
Lucas Aragão, Maurício Collares, João Pedro Marciano +2
The set-colouring Ramsey number is defined to be the minimum such that if each edge of the complete graph is assigned a set of colours from $\{1,\ldots,r…
Erdős covering systems
Paul Balister, Béla Bollobás, Robert Morris +2
A covering system is a finite collection of arithmetic progressions whose union is the set of integers. The study of these objects was initiated by Erdős in 1950, and over the foll…
Towards Hadwiger's conjecture via Bourgain Slicing
Marcelo Campos, Peter van Hintum, Robert Morris +1
In 1957, Hadwiger conjectured that every convex body in can be covered by translates of its interior. For over 60 years, the best known bound was of the form $…
Subcritical monotone cellular automata
Paul Balister, Béla Bollobás, Robert Morris +1
We study monotone cellular automata (also known as -bootstrap percolation) in with random initial configurations. Confirming a conjecture of Balister, B…
The critical length for growing a droplet
Paul Balister, Béla Bollobás, Robert Morris +1
In many interacting particle systems, relaxation to equilibrium is thought to occur via the growth of 'droplets', and it is a question of fundamental importance to determine the cr…