105 citations · 254 across the 20 of their papers we have counts for
26 papers
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…
Flat Littlewood Polynomials Exist
Paul Balister, Béla Bollobás, Robert Morris +2
We show that there exist absolute constants such that, for all , there exists a polynomial of degree , with coefficients, such that $$δ\sqrt…
The structure and number of Erdős covering systems
Paul Balister, Béla Bollobás, Robert Morris +2
Introduced by Erdős in 1950, a covering system of the integers is a finite collection of arithmetic progressions whose union is the set . Many beautiful questions and c…
The Erdős-Selfridge problem with square-free moduli
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 covering systems with distinct moduli was initiated by Erdős in…
How Ramsey theory can be used to solve Harary's problem for
C. J. Jayawardene, C. C. Rousseau, B. Bollobás
Harary's conjecture for every isolated-free graph G with edges was proved independently by Sidorenko and Goddard and Klietman. In this paper instead of $C_3…
On the Erdős Covering Problem: the density of the uncovered set
Paul Balister, Béla Bollobás, Robert Morris +2
Since their introduction by Erdős in 1950, covering systems (that is, finite collections of arithmetic progressions that cover the integers) have been extensively studied, and nume…