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Abstract and Generic Rigidity in the Plane

✍ Scribed by S. Patkar; B. Servatius; K.V. Subrahmanyam

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 294 KB
Volume: 62
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.1994.1057

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the concept of abstract two-dimensional rigidity and provide necessary and sufficient conditions for a matroid to be an abstract rigidity matroid of a complete graph. This characterization is a natural extension of the characterization of graphic matroids due to Graver or Sachs. We also give an example of an abstract rigidity matroid which is not infinitesimal. (c) 1994 Academic Press, Inc.

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