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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

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Another Look at Rigidity of Frameworks
by
Gerard Laman
University of Amsterdam

Starting from a short survey of minimal infinitesimally rigid frameworks an example is shown why a two-dimensional characterization of them cannot be extended to higher dimensions just like that. The interdepence of the rows of the relevant matrices is translated into the language of graph theory. With the help of some theorems about the resulting concepts a characterization of the said frameworks is found, which is no longer restricted in dimension.

Date received: February 1, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-15.