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07/15/2020
An improved procedure for colouring graphs of bounded local density
We develop an improved bound for the chromatic number of graphs of maxim...
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12/31/2019
Structure and colour in triangle-free graphs
Motivated by a recent conjecture of the first author, we prove that ever...
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05/15/2019
Strong chromatic index and Hadwiger number
We investigate the effect of a fixed forbidden clique minor upon the str...
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12/28/2018
Occupancy fraction, fractional colouring, and triangle fraction
Given ε>0, there exists f_0 such that, if f_0 < f <Δ^2+1, then for any g...
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12/04/2018
Colouring triangle-free graphs with local list sizes
We prove two distinct and natural refinements of a recent breakthrough r...
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08/07/2018