most citedBest of two worlds: Cartesian sampling and volume computation for distance-constrained configuration spaces using Cayley coordinates

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math.CO2025

Nucleation-free independent graphs with implied nonedges

Jialong Cheng, Meera Sitharam, Ileana Streinu +1

We give inductive constructions of independent graphs that contain implied nonedges but do not contain any non-trivial rigid subgraphs, or \emph{nucleations}: some of the construct…

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…