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math.CO2022★ 1 cited
Notes on Aharoni's rainbow cycle conjecture
Katie Clinch, Jackson Goerner, Tony Huynh +1
In 2017, Ron Aharoni made the following conjecture about rainbow cycles in edge-coloured graphs: If is an -vertex graph whose edges are coloured with colours and each co…
math.CO2019
Pairing symmetries for Euclidean and spherical frameworks
Katie Clinch, Anthony Nixon, Bernd Schulze +1
In this paper we consider the effect of symmetry on the rigidity of bar-joint frameworks, spherical frameworks and point-hyperplane frameworks in . In particular we s…
math.CO2016
Global rigidity of 2-dimensional direction-length frameworks
Katie Clinch, Bill Jackson, Peter Keevash
A 2-dimensional direction-length framework is a collection of points in the plane which are linked by pairwise constraints that fix the direction or length of the line segments joi…