Mathematics – Metric Geometry
Scientific paper
2010-09-07
Mathematics
Metric Geometry
v2, a revised version of an earlier submission (v1)
Scientific paper
Let (G,P) be a bar framework of n vertices in general position in R^d, d <=
n-1, where G is a (d+1)-lateration graph. In this paper, we present a
constructive proof that (G,P) admits a positive semi-definite stress matrix
with rank n-d-1. We also prove a similar result for a sensor network where the
graph consists of m(>= d+1) anchors.
Alfakih Abdo Y.
Taheri Nicole
Ye Yinyu
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