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 a parts per thousand currency sign 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(a parts per thousand yen d + 1) anchors.