Anthony Nixon

collaborators

2 papers

math.CO2025

Sharp thresholds for NAC-colourings and stable cuts in random graphs

Katie Clinch, John Haslegrave, Tony Huynh +1

NAC-colourings of graphs correspond to flexible quasi-injective realisations in $R^{2}$ . A special class of NAC-colourings are those that arise from stable cuts. We give s…

math.CO2025

5-regular graphs and the 3-dimensional rigidity matroid

Rebecca Monks, Anthony Nixon

A bar-joint framework $(G, p)$ in Euclidean $d$ -space is rigid if the only edge-length-preserving continuous motions arise from isometries of $R^{d}$ . In the generic case, ri…