A Proof of the Molecular Conjecture

作者：Katoh Naoki; Tanigawa Shin ichi^*

来源：Discrete & Computational Geometry, 2011, 45(4): 647-700.

DOI：10.1007/s00454-011-9348-6

• The molecular conjecture
• Panel-hinge frameworks
• Rigid realizations
• Molecular frameworks
• Combinatorial rigidity

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 in a"e (d) by mapping each vertex to a rigid panel and each edge to a hinge if and only if parallel edges.

• 出版日期2011-6