4.1 Article

A Proof of the Molecular Conjecture

Journal

DISCRETE & COMPUTATIONAL GEOMETRY
Volume 45, Issue 4, Pages 647-700

Publisher

SPRINGER
DOI: 10.1007/s00454-011-9348-6

Keywords

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

Funding

  1. JSPS
  2. Grants-in-Aid for Scientific Research [21300003, 22240001] Funding Source: KAKEN

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

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