80 citations · 268 across the 38 of their papers we have counts for
24 papers · 1 filter
Higher Order Rigidity and Energy
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
In this paper, we revisit the notion of higher-order rigidity of a bar-and-joint framework. In particular, we provide a link between the rigidity properties of a framework, and the…
General position stresses
Robert Connelly, Steven J. Gortler, Louis Theran
Let be a graph with vertices, and be a target dimension. In this paper we study the set of rank matrices that are equilibrium stress matrices for at least one (…
Universal Rigidity of Ladders on the line
Bryan Chen, Robert Connelly, Steven J. Gortler +2
In "Universal rigidity on the line, point orde" it is shown, answering a question of Jordán and Nguyen, that universal rigidity of a generic bar-joint framework in R^1 depends on m…
is fully reconstructible in
Daniel Irving Bernstein, Steven J. Gortler
A graph is fully reconstructible in if the graph is determined from its -dimensional measurement variety. The full reconstructibility problem has been solved…
Transverse Rigidity is Prestress Stability
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent…
Global rigidity of complete bipartite graphs
Robert Connelly, Steven J. Gortler, Louis Theran
This note gives a detailed proof of the following statement. Let and , with . Then the complete bipartite graph $K_{m…