James Davies

activity

20192026

most citedCircle graphs are quadratically

χ

-bounded

30 citations · 53 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CO2022

Odd distances in colourings of the plane

James Davies

We prove that every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.

math.CO2022★ 15 cited

Separating polynomial $χ$ -boundedness from $χ$ -boundedness

Marcin Briański, James Davies, Bartosz Walczak

Extending the idea from the recent paper by Carbonero, Hompe, Moore, and Spirkl, for every function $f : N \to N \cup {\infty}$ with $f (1) = 1$ and $f(n)\geq\binom…

Odd distances in colourings of the plane

Separating polynomial χ-boundedness from χ-boundedness

Separating polynomial $χ$ -boundedness from $χ$ -boundedness