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Combinatorial characterization of the Assur graphs from engineering by Brigitte Servatius; Offer Shai; Walter Whiteley is a Mathematics article available to read on EtoBox.

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We introduce the idea of Assur graphs, a concept originally developed and exclusively employed in the literature of the kinematics community. This paper translates the terminology, questions, methods and conjectures from the kinematics terminology for one degree of freedom linkages to the terminology of Assur graphs as graphs with special properties in rigidity theory. Exploiting the recent works in combinatorial rigidity theory we provide mathematical characterizations of these graphs derived from 'minimal' linkages. With these characterizations, we confirm a series of conjectures posed by Offer Shai, and offer techniques and algorithms to be exploited further in future work.

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Author

Brigitte Servatius; Offer Shai; Walter Whiteley

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0195-6698)

Published

2010

Language

EN

Field

Mathematics (Physical Sciences)