92 citations · 140 across the 14 of their papers we have counts for
6 papers · 1 filter
Pairing symmetries for Euclidean and spherical frameworks
Katie Clinch, Anthony Nixon, Bernd Schulze +1
In this paper we consider the effect of symmetry on the rigidity of bar-joint frameworks, spherical frameworks and point-hyperplane frameworks in . In particular we s…
Point-hyperplane frameworks, slider joints, and rigidity preserving transformations
Yaser Eftekhari, Bill Jackson, Anthony Nixon +3
A one-to-one correspondence between the infinitesimal motions of bar-joint frameworks in and those in is a classical observation by Pogorelov, and fur…
Symmetry adapted Assur decompositions
Anthony Nixon, Bernd Schulze, Adnan Sljoka +1
Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly…
Directed Graphs, Decompositions, and Spatial Linkages
Offer Shai, Adnan Sljoka, Walter Whiteley
The decomposition of a linkage into minimal components is a central tool of analysis and synthesis of linkages. In this paper we prove that every pinned d-isostatic (minimally rigi…
Combinatorial Characterization of the Assur Graphs from Engineering
Brigitte Servatius, Offer Shai, Walter Whiteley
We introduce the idea of Assur graphs, a concept originally developed and exclusively employed in the literature of the kinematics community. The paper translates the terminology,…
Planar Minimally Rigid Graphs and Pseudo-Triangulations
Ruth Haas, David Orden, Guenter Rote +6
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than 180 degrees. In this paper we prove th…