Freddie Illingworth

activity

20192022

most citedNotes on Aharoni's rainbow cycle conjecture

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2022★ 1 cited

Notes on Aharoni's rainbow cycle conjecture

Katie Clinch, Jackson Goerner, Tony Huynh +1

In 2017, Ron Aharoni made the following conjecture about rainbow cycles in edge-coloured graphs: If $G$ is an $n$ -vertex graph whose edges are coloured with $n$ colours and each co…

math.CO2021

A note on induced Turán numbers

Freddie Illingworth

Loh, Tait, Timmons and Zhou introduced the notion of induced Turán numbers, defining $ex (n, {H, F -ind})$ to be the greatest number of edges in an $n$ -vertex…

math.CO2019

Graphs with no induced $K_{2, t}$

Freddie Illingworth

Consider a graph $G$ on $n$ vertices with $α (2 n)$ edges which does not contain an induced $K_{2, t}$ ( $t ⩾ 2$ ). How large does $α$ have to be to ensure that $G$ con…

Notes on Aharoni's rainbow cycle conjecture

A note on induced Turán numbers

Graphs with no induced K2,t​

Graphs with no induced $K_{2, t}$