Rigidity of 1-coordinated frameworks in 2 dimensions:16th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, CTW 2018 - Proceedings of the Workshop

A bar-joint framework (G, p) is a graph G with an embedding of its vertices into R d. Coordinated frameworks are those with a subset of bars that may extend or retract, but must all do so at the same time, in contrast to standard frameworks in which the bar lengths are fixed by the embedding p. We wish to extend characterisations of standard frameworks to the coordinated context