3 papers
math.MG2024
Edge-length preserving embeddings of graphs between normed spaces
Sean Dewar, Eleftherios Kastis, Derek Kitson +1
The concept of graph flattenability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces…
math.CO2020
Spectral conditions for graph rigidity in the Euclidean plane
Sebastian M. Cioabă, Sean Dewar, Xiaofeng Gu
Rigidity is the property of a structure that does not flex. It is well studied in discrete geometry and mechanics, and has applications in material science, engineering and biologi…
math.MG2018
Equivalence of continuous, local and infinitesimal rigidity in normed spaces
Sean Dewar
We present a rigorous study of framework rigidity in general finite dimensional normed spaces from the perspective of Lie group actions on smooth manifolds. As an application, we p…