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Abdo Y. Alfakih
Researcher at University of Windsor
Publications - 54
Citations - 835
Abdo Y. Alfakih is an academic researcher from University of Windsor. The author has contributed to research in topics: Euclidean distance & Euclidean distance matrix. The author has an hindex of 16, co-authored 54 publications receiving 770 citations. Previous affiliations of Abdo Y. Alfakih include University of Waterloo & University of Michigan.
Papers
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Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming
TL;DR: A primal-dual interior-point algorithm is introduced that solves an equivalent (quadratic objective function) semidefinite programming problem (SDP) and demonstrates the efficiency and robustness of this approach.
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Graph rigidity via Euclidean distance matrices
TL;DR: In this paper, the authors consider the problem of determining whether or not a given realization of a graph G is rigid, i.e., an extreme point with full-dimensional normal cone.
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On dimensional rigidity of bar-and-joint frameworks
TL;DR: The notion of dimensional rigidity of frameworks is introduced, and the problem of checking the validity of these conditions as a semidefinite programming (SDP) problem is studied.
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On bar frameworks, stress matrices and semidefinite programming
TL;DR: In this paper, semidefinite programming (SDP) theory is used to address, in a unified manner, several problems concerning universal rigidity, and the notion of SDP non-degeneracy is use to obtain a sufficient condition foruniversal rigidity.