This conjecture is called the Molecular Conjecture due to the equivalence between the infinitesimal rigidity of ``hinge-coplanar'' body-and-hinge frameworks and that of bar-and-joint frameworks derived from molecules in 3-dimension. In 2-dimensional case this conjecture has been proved by Jackson and Jord{á}n in 2006.
Feb 2, 2009
Mar 30, 2011 · We prove the Molecular Conjecture posed by Tay and Whiteley. This implies that a graph G can be realized as an infinitesimally rigid ...
In 2-dimensional case this conjecture has been proved by Jackson and Jordán in 2006. In this paper we prove this long standing conjecture affirmatively for ...
We prove the Molecular Conjecture posed by Tay and Whiteley. This implies that a graph G can be realized as an infinitesimally rigid panel-hinge framework ...
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It analyzes the protein's rigidity by using the theory of structural rigidity. Algorithms such as 3D pebble game were developed for this. Computer software like ...
We prove the Molecular Conjecture posed by Tay and Whiteley. This implies that a graph G can be realized as an infinitesimally rigid panel-hinge framework ...
We prove the Molecular Conjecture posed by Tay and Whiteley. This implies that a graph G can be realized as an infinitesimally rigid panel-hinge framework ...
A Proof of the Molecular Conjecture. Abstract. We prove the Molecular Conjecture posed by Tay and Whiteley. This implies that a graph G can be realized as ...
Our proof follows a standard strategy to prove the generic rigidity of frameworks: first we introduce two simple operations that create a larger graph from a ...
A d-dimensional body-and-hinge framework is, roughly speaking, a structure consisting of rigid bodies connected by hinges in d-dimensional space.