276 citations · 364 across the 23 of their papers we have counts for
29 papers
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…
Rigidity of Circle Packings with Flexible Radii
Robert Connelly, Zhen Zhang
Circle packings are arrangement of circles satisfying specified tangency requirements. Many problems about packing of circles and spheres occur in nature particularly in material d…
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…
Universal rigidity on the line, point order
Bryan Chen, Robert Connelly, Anthony Nixon +1
We show that universal rigidity of a generic bar and joint framework (G,p) in the line depends on more than the ordering of the vertices. In particular, we construct examples of on…
Realizations of Isostatic Material Frameworks
Mahdi Sadjadi, Varda F. Hagh, Mingyu Kang +6
This paper studies the set of equivalent realizations of isostatic frameworks in two dimensions, and algorithms for finding all such realizations. We show that an isostatic framewo…