School of Mathematical Sciences

Global rigidity of graphs menu

Global rigidity of graphs

Katie Clinch
Wed, 15/10/2014 - 13:00

Imagine two people are each given a set of rods, and instructions on how to connect these rods together with joints at their endpoints. Assuming they both follow the instructions correctly, is it possible that they could still end up with different structures?

If the given constraints (in this case the lengths of the rods and the rules on how to connect them) are sufficient to guarantee a unique realisation, then we say that the structure is globally rigid. In this talk we'll look at the global rigidity of frameworks in two dimensions, and see to what extent this can be determined by their underlying graph.