19 citations · 42 across the 7 of their papers we have counts for
5 papers · 1 filter
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…