2013/04/01 by Justin Malestein, Louis Theran, Malestein, Justin +1 · 5 citations
Engineering · #Structural Analysis and Optimization #Advanced Materials and Mechanics #Dielectric materials and actuators
paper · pdf · doi:10.48550/arxiv.1304.0398
We give a combinatorial characterization of generic frameworks that are minimally rigid under the additional constraint of maintaining symmetry with respect to a finite order rotation or a reflection. To establish these results we develop a new technique for deriving linear representations of sparsity matroids on colored graphs and extend the direction network method of proving rigidity characterizations to handle reflections.