1 citations · 2 across the 7 of their papers we have counts for
4 papers · 1 filter
On the number of monochromatic solutions to multiplicative equations
Lucas Aragão, Jonathan Chapman, Miquel Ortega +1
The following question was asked by Prendiville: given an -colouring of the interval , what is the minimum number of monochromatic solutions of the equation $x…
The diameter of randomly twisted hypercubes
Lucas Aragão, Maurício Collares, Gabriel Dahia +1
The -dimensional random twisted hypercube is constructed recursively by taking two instances of , with any joint distribution, and adding a rand…
Localised graph Maclaurin inequalities
Lucas Aragão, Victor Souza
The Maclaurin inequalities for graphs are a broad generalisation of the classical theorems of Turán and Zykov. In a nutshell they provide an asymptotically sharp answer to the foll…
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…