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

collaborators

Showing 2015Show all

2 papers · 1 filter

math.CO2015

Finding a low-dimensional piece of a set of integers

Freddie Manners

We show that a finite set of integers $A \subseteq Z$ with $∣ A + A ∣ \leq K ∣ A ∣$ contains a large piece $X \subseteq A$ with Freĭman dimension $O (lo g K)$ , where large means $…

math.CO2015★ 25 cited

Additive triples of bijections, or the toroidal semiqueens problem

Sean Eberhard, Freddie Manners, Rudi Mrazović

We prove an asymptotic for the number of additive triples of bijections ${1, \dots, n} \to Z / n Z$ , that is, the number of pairs of bijections $π_1,π_2\colon \{1,\dot…