On Spaces of Infinitesimal Motions and Three Dimensional Henneberg Extensions

James Cruickshank

doi:10.1007/s00454-014-9580-y

On Spaces of Infinitesimal Motions and Three Dimensional Henneberg Extensions

James Cruickshank

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

We investigate certain spaces of infinitesimal motions arising naturally in the rigidity theory of bar and joint frameworks. We prove some structure theorems for these spaces and, as a consequence, are able to deduce some special cases of a long standing conjecture of Graver, Tay and Whiteley concerning Henneberg extensions and generically rigid graphs.

Original language	English
Pages (from-to)	702-721
Number of pages	20
Journal	Discrete & Computational Geometry
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/s00454-014-9580-y
Publication status	Published - Apr 2014

Keywords

Frameworks
Henneberg moves
Rigidity

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10.1007/s00454-014-9580-y

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abstract = "We investigate certain spaces of infinitesimal motions arising naturally in the rigidity theory of bar and joint frameworks. We prove some structure theorems for these spaces and, as a consequence, are able to deduce some special cases of a long standing conjecture of Graver, Tay and Whiteley concerning Henneberg extensions and generically rigid graphs.",

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AB - We investigate certain spaces of infinitesimal motions arising naturally in the rigidity theory of bar and joint frameworks. We prove some structure theorems for these spaces and, as a consequence, are able to deduce some special cases of a long standing conjecture of Graver, Tay and Whiteley concerning Henneberg extensions and generically rigid graphs.

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KW - Rigidity

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DO - 10.1007/s00454-014-9580-y

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JO - Discrete & Computational Geometry

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ER -

On Spaces of Infinitesimal Motions and Three Dimensional Henneberg Extensions

Abstract

Keywords

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