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14

EJC
2010

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Geometric properties of Assur graphs

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Geometric properties of Assur graphs

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In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this paper we further explore the geometric properties of Assur graphs, with a focus on singular realizations which have static self-stresses. We provide a new geometric characterization of Assur graphs, based on special singular realizations. These singular positions are then related to dead-end positions in which an associated mechanism with an inserted driver will stop or jam.

Brigitte Servatius, Offer Shai, Walter Whiteley

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Assur Graphs | EJC 2007 | EJC 2010 | Isostatic Pinned Frameworks | Singular Realizations |

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Added	10 Dec 2010
Updated	10 Dec 2010
Type	Journal
Year	2010
Where	EJC
Authors	Brigitte Servatius, Offer Shai, Walter Whiteley

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