The stress spaces of bipartite frameworks

Kevin Peterson

Vol. 197 (2001), No. 1, 173–182

DOI: 10.2140/pjm.2001.197.173

Abstract

We extend the work done by Bolker and Roth in calculating the dimensions of the stress spaces of complete bipartite frameworks. We will present results which are analogous to those known for complete bipartite frameworks, yet hold for a much wider class of bipartite frameworks. The main results give the dimensions of the stress spaces for certain classes of frameworks, which are easily calculated using only the number of bars, the number of joints, and knowledge of the geometry of the specific realization of the framework.

Milestones

Received: 5 April 1999

Revised: 26 July 1999

Published: 1 January 2001