8 citations · 17 across the 3 of their papers we have counts for
3 papers
math.MG2012★ 5 cited
On stress matrices of chordal bar frameworks in general position
A. Y. Alfakih
A bar framework in R^r, denoted by G(p), is a simple connected graph G whose vertices are points p^1,...,p^n in R^r that affinely span R^r, and whose edges are line segments betwee…
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…