72 citations · 250 across the 57 of their papers we have counts for
4 papers · 1 filter
Generic rigidity of reflection frameworks
Justin Malestein, Louis Theran
We give a combinatorial characterization of generic minimally rigid reflection frameworks. The main new idea is to study a pair of direction networks on the same graph such that on…
Generic rigidity with forced symmetry and sparse colored graphs
Justin Malestein, Louis Theran
We review some recent results in the generic rigidity theory of planar frameworks with forced symmetry, giving a uniform treatment to the topic. We also give new combinatorial char…
Generic rigidity of frameworks with orientation-preserving crystallographic symmetry
Justin Malestein, Louis Theran
We extend our generic rigidity theory for periodic frameworks in the plane to frameworks with a broader class of crystallographic symmetry. Along the way we introduce a new class o…
Topological Designs
Justin Malestein, Igor Rivin, Louis Theran
We give an exponential upper and a quadratic lower bound on the number of pairwise non-isotopic simple closed curves can be placed on a closed surface of genus g such that any two…