2 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
A new lower bound for two-color van der Waerden numbers
Marcelo Campos, Jacob Fox, Carl Schildkraut
The van der Waerden number is the smallest positive integer such that every two-coloring of contains a monochromatic -term arithmetic progression.…
An exponential upper bound for induced Ramsey numbers
Lucas Aragão, Marcelo Campos, Gabriel Dahia +2
The induced Ramsey number of a graph is the minimum number such that there exists a graph with vertices for which all -colourings of its edg…
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…
On the independence number of sparser random Cayley graphs
Marcelo Campos, Gabriel Dahia, João Pedro Marciano
The Cayley sum graph of a set is defined to have vertex set and an edge between two distinct vertices if $x…