James Davies

activity

20242026

collaborators

3 papers

math.MG2026

Surfaces without quasi-isometric simplicial triangulations

James Davies

We construct a complete Riemannian surface $I^£$ that admits no triangulation $G \subset I^£$ such that the inclusion $G^{(1)} ↪ I^£$ is a quasi-isometry, where $G^{(1)}$ …

math.CO2025

Pivot-minors and the ErdÅs-Hajnal conjecture

James Davies

We prove a conjecture of Kim and Oum that every proper pivot-minor-closed class of graphs has the strong ErdÅs-Hajnal property. More precisely, for every graph $H$ , there exists $…

math.CO2024

Chromatic number of spacetime

James Davies

We observe that an old theorem of Graham implies that for any positive integer $s$ , there exists some positive integer $T (s)$ such that every $s$ -colouring of $Z^{2}$ contai…

Surfaces without quasi-isometric simplicial triangulations

Pivot-minors and the ErdÅs-Hajnal conjecture

Chromatic number of spacetime

Pivot-minors and the ErdÅs-Hajnal conjecture