Freddie Manners

activity

20132026

most citedAdditive triples of bijections, or the toroidal semiqueens problem

25 citations · 88 across the 11 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.CO2013★ 2 cited

A solution to the Pyjama Problem

Freddie Manners

The "pyjama stripe" is the subset of $R^{2}$ consisting of a vertical strip of width $2 ε$ around every integer $x$ -coordinate. The "pyjama problem" asks whether f…

math.CO2013★ 21 cited

Sets of integers with no large sum-free subset

Sean Eberhard, Ben Green, Freddie Manners

Answering a question of P. Erdos from 1965, we show that for every eps>0 there is a set A of n integers with the following property: every subset A' of A with at least (1/3 + eps)n…