19 citations · 76 across the 28 of their papers we have counts for
4 papers · 1 filter
A characterisation of generically rigid frameworks on surfaces of revolution
Anthony Nixon, John Owen, Stephen Power
A foundational theorem of Laman provides a counting characterisation of the finite simple graphs whose generic bar-joint frameworks in two dimensions are infinitesimally rigid. Rec…
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…
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…
A Constructive Characterisation of Circuits in the Simple (2,2)-sparsity Matroid
Anthony Nixon
We provide a constructive characterisation of circuits in the simple (2,2)-sparsity matroid. A circuit is a simple graph G=(V,E) with |E|=2|V|-1 and the number of edges induced by…