3 papers
math.OC2026
Formation control from the generic combinatorial viewpoint: edge dynamics and directed sensing
Louis Theran, Daniel Zelazo, Sean Dewar +1
We develop a geometric framework for distance-based formation control that separates the evolution of inter-agent distances from its realization by compatible node motions, reducin…
math.MG2025
Uniquely realizable crystalline structures
Sean Dewar, Bernd Schulze, Shin-ichi Tanigawa +1
We construct infinite periodic versions of the stress matrix and establish sufficient conditions for periodic tensegrity frameworks to be globally rigid in in the ca…
math.CO2025
Dilworth truncations and Hadamard products of linear spaces
Dario Antolini, Sean Dewar, Shin-ichi Tanigawa
As a direct application of Dilworth truncations of polymatroids, we give short proofs of two theorems: Bernstein's characterisation of algebraic matroids coming from the Hadamard p…