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Noname manuscript No. (will be inserted by the editor)

Summary: Noname manuscript No.
(will be inserted by the editor)
On Bar Frameworks, Stress Matrices and Semidefinite
A. Y. Alfakih
Aug 6, 2009. Revised March 14, 2010
Abstract A bar framework G(p) in r-dimensional Euclidean space is a graph G on the
vertices 1, 2, . . . , n, where each vertex i is located at point pi
in Rr
. Given a framework
G(p) in Rr
, a problem of great interest is that of determining whether or not there
exists another framework G(q), not obtained from G(p) by a rigid motion, such that
- qj
= ||pi
- pj
for each edge (i, j) of G. This problem is known as either the


Source: Alfakih, A. Y. - Department of Mathematics and Statistics, University of Windsor


Collections: Mathematics