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» On the rigidity of molecular graphs
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ALGORITHMICA
2007
82views more  ALGORITHMICA 2007»
13 years 5 months ago
Rigid Components in Molecular Graphs
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...
Bill Jackson, Tibor Jordán
COMBINATORICA
2008
112views more  COMBINATORICA 2008»
13 years 5 months ago
On the rigidity of molecular graphs
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...
Bill Jackson, Tibor Jordán
ISBI
2004
IEEE
14 years 5 months ago
Non-Rigid Image Transformation for Assessing Changes in Fluorescence Imaging Data of Molecular Activity in Time-Dependent Geomet
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...
CDC
2009
IEEE
135views Control Systems» more  CDC 2009»
13 years 9 months ago
Stiffness matrix and quantitative measure of formation rigidity
— 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....
Guangwei Zhu, Jianghai Hu
CORR
2010
Springer
175views Education» more  CORR 2010»
13 years 4 months ago
On affine rigidity
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...