8 citations · 30 across the 15 of their papers we have counts for
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math.MG2010★ 8 cited
On affine motions and bar frameworks in general position
A. Y. Alfakih, Yinyu Ye
A configuration p in r-dimensional Euclidean space is a finite collection of points (p^1,...,p^n) that affinely span R^r. A bar framework, denoted by G(p), in R^r is a simple graph…
math.MG2010★ 4 cited
Toward the Universal Rigidity of General Frameworks
Abdo Y. Alfakih, Nicole Taheri, Yinyu Ye
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) admi…