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math.CO2024
Minimally rigid tensegrity frameworks
Adam D. W. Clay, Tibor Jordán, Sára Hanna Tóth
A -dimensional tensegrity framework is an edge-labeled geometric graph in , which consists of a graph and a map $p:V\to {\mathbb R}^…
math.GT2024
Order-detection, representation-detection, and applications to cable knots
Adam Clay, Junyu Lu
Given a -manifold with multiple incompressible torus boundary components, we develop a general definition of order-detection of tuples of slopes on the boundary components o…