Minimally Rigid Frameworks in \(\mathbb{R}^1\) and \(\mathbb{R}^2\)

Hattie Serocold (Lancaster University)

Frank Adams 2, Alan Turing Building,

A framework is defined in terms of a structure graph \(G=(V,E)\) and an embedding into \(\mathbb{R}^m\). We will begin with an overview of types of rigidity, then look at the Laman conditions which characterise 1 and 2 dimensional minimally rigid frameworks, and inductive constructions for these types of frameworks. I will finish by discussing some of my current research into frameworks with sets of coordinated edges.


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