19 citations · 42 across the 7 of their papers we have counts for
8 papers
Anchored boundary conditions for locally isostatic networks
Louis Theran, Anthony Nixon, Elissa Ross +3
Finite pieces of locally isostatic networks have a large number of floppy modes because of missing constraints at the surface. Here we show that by imposing suitable boundary condi…
Periodic Rigidity on a Variable Torus Using Inductive Constructions
Anthony Nixon, Elissa Ross
In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling pe…
The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus
Elissa Ross
We present necessary and sufficient conditions for the generic rigidity of body-bar frameworks on the three-dimensional fixed torus. These frameworks correspond to infinite periodi…
One brick at a time: a survey of inductive constructions in rigidity theory
Anthony Nixon, Elissa Ross
We present a survey of results concerning the use of inductive constructions to study the rigidity of frameworks. By inductive constructions we mean simple graph moves which can be…
Inductive constructions for frameworks on a two-dimensional fixed torus
Elissa Ross
An infinite periodic framework in the plane can be represented as a framework on a torus, using a -labelled gain graph. We find necessary and sufficient conditions for…
The rigidity of periodic frameworks as graphs on a fixed torus
Elissa Ross
We define periodic frameworks as graphs on the torus, using the language of gain graphs. We present some fundamental definitions and results about the infinitesimal rigidity of gra…
Finite motions from periodic frameworks with added symmetry
Elissa Ross, Bernd Schulze, Walter Whiteley
Recent work from authors across disciplines has made substantial contributions to counting rules (Maxwell type theorems) which predict when an infinite periodic structure would be…
The Rigidity of Spherical Frameworks: Swapping Blocks and Holes
Wendy Finbow, Elissa Ross, Walter Whiteley
A significant range of geometric structures whose rigidity is explored for both practical and theoretical purposes are formed by modifying generically isostatic triangulated sphere…