In this paper we consider 3-dimensional generic bar-and-joint realizations of squares of graphs. These graphs are also called molecular graphs due to their importance in the study...
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
This paper presents an image processing framework for assessing molecular activity changes from fluorescent data in time-dependent geometries. The aim of our work is to provide th...
Kostas Marias, Stelios C. Orphanoudakis, Jorge Rip...
— Rigidity of formation is an importance concept in multi-agent localization and control problems. There are welldeveloped existing methods to test the rigidity of a given graph....
We study the properties of affine rigidity of a (hyper)graph and prove a variety of fundamental results. First, we show that affine rigidity is a generic property (i.e., only depen...
Steven J. Gortler, Craig Gotsman, Ligang Liu, Dyla...