Emma Hogan

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20242026

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math.CO2024

Exponential odd-distance sets under the Manhattan metric

Alberto Espuny Díaz, Emma Hogan, Freddie Illingworth +3

We construct a set of $2^{n}$ points in $R^{n}$ such that all pairwise Manhattan distances are odd integers, which improves the recent linear lower bound of Golovanov, Kupavsk…

math.CO2024

A note on graphs of $k$ -colourings

Emma Hogan, Alex Scott, Youri Tamitegama +1

For a graph $G$ , the $k$ -colouring graph of $G$ has vertices corresponding to proper $k$ -colourings of $G$ and edges between colourings that differ at a single vertex. The graph su…

Exponential odd-distance sets under the Manhattan metric

A note on graphs of k-colourings

A note on graphs of $k$ -colourings