6 citations · 9 across the 3 of their papers we have counts for
7 papers
Computational thresholds for the fixed-magnetization Ising model
Charlie Carlson, Ewan Davies, Alexandra Kolla +1
The ferromagnetic Ising model is a model of a magnetic material and a central topic in statistical physics. It also plays a starring role in the algorithmic study of approximate co…
An algorithmic framework for colouring locally sparse graphs
Ewan Davies, Ross J. Kang, François Pirot +1
We develop an algorithmic framework for graph colouring that reduces the problem to verifying a local probabilistic property of the independent sets. With this we give, for any fix…
Graph structure via local occupancy
Ewan Davies, Ross J. Kang, François Pirot +1
The first author together with Jenssen, Perkins and Roberts (2017) recently showed how local properties of the hard-core model on triangle-free graphs guarantee the existence of la…
Statistical physics approaches to Unique Games
Matthew Coulson, Ewan Davies, Alexandra Kolla +2
We show how two techniques from statistical physics can be adapted to solve a variant of the notorious Unique Games problem, potentially opening new avenues towards the Unique Game…
Regularity inheritance in hypergraphs
Peter Allen, Ewan Davies, Jozef Skokan
We give a new approach to handling hypergraph regularity. This approach allows for vertex-by-vertex embedding into regular partitions of hypergraphs, and generalises to regular par…
Occupancy fraction, fractional colouring, and triangle fraction
Ewan Davies, Rémi de Joannis de Verclos, Ross J. Kang +1
Given , there exists such that, if , then for any graph on vertices of maximum degree in which the neighbourhood of every vert…