Refereed Papers

• A. Y. Alfakih , On stress matrices of chordal bar frameworks in general position . arXiv/1205.3990

• A. Y. Alfakih and Yinyu Ye , On affine motions and bar frameworks in general position . arXiv/1009.3318

• A. Y. Alfakih, Nicole Taheri and Yinyu Ye , On stress matrices of (d+1)-lateration frameworks in general position. . arXiv/1009.1185. To appear in Mathematical Programming

• A. Y. Alfakih, On bar frameworks, stress matrices and semidefinite programming . Math. Prog. Ser. B, Vol 129, no 1, 113--128, (2011) DOI:10.1007/s10107-010-0389-z

• A. Y. Alfakih, On the universal rigidity of generic bar frameworks.
  Contribution Disc. Math. vol 5, no 1, 7--17, (2010)

• A. Y. Alfakih, On the dual rigidity matrix. Linear Algebra Appl. 428, 962--972, (2008).

• A. Y. Alfakih, On the eigenvalues of Euclidean distance matrices.
  Comput. Appl. Math. Vol 27, no 3, 237--250, (2008)

• A. Y. Alfakih and H. Wolkowicz, Some necessary and some sufficient trace
  inequalities for Euclidean distance matrices. Linear Mult. Algebra . 55, 499--506, (2007).

• A. Y. Alfakih, On dimensional rigidity of joint-and-bar frameworks.
  Discrete Appl. Math. 155, 1244-1253, (2007).

• A. Y. Alfakih, On the nullspace, the rangespace and the characteristic polynomial
  of Euclidean distance matrices. Linear Algebra Appl . 416, 348-354, (2006).

• A. Y. Alfakih, A remark of the faces of the cone of Euclidean Distance Matrices.
  Linear Algebra Appl . 414, 266-270, (2006).

• A. Y. Alfakih, On the Uniqueness of Euclidean Distance Matrix Completions:
  the case of points in general position. Linear Algebra Appl ., 397, 265-277 (2005).

• A. Y. Alfakih and H. Wolkowicz, Two Theorems on Euclidean Distance Matrices
  and Gale Transform. Linear Algebra Appl ., 340, 149--154 (2002).

• A. Y. Alfakih, On Rigidity and Realizability of Weighted Graphs.
  Linear Algebra Appl. , 325, 57--70 (2001).

• A. Y. Alfakih, Graph Rigidity via Euclidean Distance Matrices.
  Linear Algebra Appl ., 310, 149--165 (2000).

• A. Y. Alfakih, A. Khandani and H. Wolkowicz, Solving Euclidean Distance Matrix
  Completion Problems via Semidefinite Programming. Comput. Optim. Appl. , 12, 13--30 (1999).

• A. Y. Alfakih, T. Yi and K. G. Murty, Some Facets of an Assignment Problem
  with a 0--1 Side Constraint. J. of Comb. Optim. , 4, 365--388 (2000).

• A. Y. Alfakih and K. G. Murty, Adjacency on the Constrained Assignment Problem.
  Discrete Appl. Math. , 87, 269--274 (1998).

Research Reports:

• A. Y. Alfakih, On global rigidity and universal rigidity of generic bar frameworks with few vertices .

• A. Y. Alfakih, On the set of realizations of edge-weighted graphs in Euclidean spaces.

• A. Y. Alfakih and H. Wolkowicz, Euclidean distance matrices and the molecular
  conformation problem. University of Waterloo, Dept of Combinatorics and Optimization,
  Research Report CORR 2002-17, (2002).

• A. Y. Alfakih and H. Wolkowicz, On Embeddability of Weighted Graphs in Euclidean Spaces. CORR 98--12, Department of Combinatorics and Optimization, University of Waterloo, Canada, (1998).

Chapters in Books:

• A. Y. Alfakih and H. Wolkowicz, Matrix Completion Problems. In Handbook of Semidefinite Programming: Theory, Algorithms, and Applications.
  H. Wolkowicz, R. Saigal, and L. Vandenberghe editors, Kluwer Academic Publishers,
  Boston. pp 533--546 (2000).

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