On stress matrices of (d + 1)-lateration frameworks in general position

Let ( G , P ) be a bar framework of n vertices in general position in , for 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 semidefinite 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.