When is a bipartite graph a rigid framework?

Abstract

We find the dimension of the space of stresses for all realizations of the complete bipartite graph Km, n in Rd. That allows us to determine the infinitesimal rigidity or infinitesimal flexibility of such frameworks. The results lead both to the generic classification of Km, n in Rd and to a description of the realizations which deviate from the generic behavior. © 1980, University of California, Berkeley. All Rights Reserved.