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cs.CG2024
Graphs with single interval Cayley configuration spaces in 3-dimensions
William Sims, Meera Sitharam
We prove a conjectured graph theoretic characterization of a geometric property of 3 dimensional linkages posed 15 years ago by Sitharam and Gao, motivated by their equivalent char…
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.CO2024
Angular constraints on planar frameworks
Sean Dewar, Georg Grasegger, Anthony Nixon +4
Consider a collection of points in the plane and the sets of slopes or directions of the lines between pairs of points. It is known that the algebraic matroid on the set of directi…