1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.CO2023★ 1 cited
On the edge-chromatic number of 2-complexes
Jan Kurkofka, Emily Nevinson
We propose an open question that seeks to generalise the Four Colour Theorem from two to three dimensions. As an appetiser, we show that 12 instead of four colours are both suffici…
math.CO2022
A characterisation of 3-colourable 3-dimensional triangulations
Johannes Carmesin, Emily Nevinson, Bethany Saunders
We extend Heawood's theorem on the colourability of plane triangulations to triangulations of 3-space. We prove that a triangulation of 3-space can be edge coloured with three colo…