Alfakih, A. Y. Dimensional and universal rigidities of bar frameworks. (English) Zbl 1407.52023 Sitharam, Meera (ed.) et al., Handbook of geometric constraint systems principles. Boca Raton, FL: CRC Press. Discrete Math. Appl. (Boca Raton), 201-212 (2019). MSC: 52C25 51A20 90C22 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, in: Handbook of geometric constraint systems principles. Boca Raton, FL: CRC Press. 201--212 (2019; Zbl 1407.52023)
Alfakih, Abdo Y. Euclidean distance matrices and their applications in rigidity theory. (English) Zbl 1422.15002 Cham: Springer (ISBN 978-3-319-97845-1/hbk; 978-3-319-97846-8/ebook). xiv, 251 p. (2018). Reviewer: Shing So (Warrensburg) MSC: 15-02 15A45 15A18 51K05 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Euclidean distance matrices and their applications in rigidity theory. Cham: Springer (2018; Zbl 1422.15002) Full Text: DOI
Alfakih, Abdo Y. Universal rigidity of bar frameworks in general position: a Euclidean distance matrix approach. (English) Zbl 1271.15026 Mucherino, Antonio (ed.) et al., Distance geometry. Theory, methods, and applications. New York, NY: Springer (ISBN 978-1-4614-5127-3/hbk; 978-1-4614-5128-0/ebook). 3-22 (2013). MSC: 15B57 51K05 90C22 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, in: Distance geometry. Theory, methods, and applications. New York, NY: Springer. 3--22 (2013; Zbl 1271.15026) Full Text: DOI arXiv
Alfakih, Abdo Y.; Anjos, Miguel F.; Piccialli, Veronica; Wolkowicz, Henry Euclidean distance matrices, semidefinite programming and sensor network localization. (English) Zbl 1223.51017 Port. Math. (N.S.) 68, No. 1, 53-102 (2011). Reviewer: Rüstem Kaya (Eskişehir) MSC: 51K05 15A83 52C25 90C22 05C50 PDFBibTeX XMLCite \textit{A. Y. Alfakih} et al., Port. Math. (N.S.) 68, No. 1, 53--102 (2011; Zbl 1223.51017) Full Text: DOI
Alfakih, A. Y. On the eigenvalues of Euclidean distance matrices. (English) Zbl 1158.15004 Comput. Appl. Math. 27, No. 3, 237-250 (2008). MSC: 15A18 15B57 51K05 05C50 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Comput. Appl. Math. 27, No. 3, 237--250 (2008; Zbl 1158.15004)
Alfakih, A. Y. On the nullspace, the rangespace and the characteristic polynomial of Euclidean distance matrices. (English) Zbl 1105.15019 Linear Algebra Appl. 416, No. 2-3, 348-354 (2006). Reviewer: Hans Havlicek (Wien) MSC: 15B57 51K05 52B35 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Linear Algebra Appl. 416, No. 2--3, 348--354 (2006; Zbl 1105.15019) Full Text: DOI
Alfakih, A. Y. A remark on the faces of the cone of Euclidean distance matrices. (English) Zbl 1107.15020 Linear Algebra Appl. 414, No. 1, 266-270 (2006). Reviewer: A. A. Bogush (Minsk) MSC: 15B57 51K05 15B48 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Linear Algebra Appl. 414, No. 1, 266--270 (2006; Zbl 1107.15020) Full Text: DOI
Alfakih, Abdo Y. On the uniqueness of Euclidean distance matrix completions: the case of points in general position. (English) Zbl 1072.15019 Linear Algebra Appl. 397, 265-277 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15B48 51K05 52B35 90C22 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Linear Algebra Appl. 397, 265--277 (2005; Zbl 1072.15019) Full Text: DOI
Alfakih, Abdo Y. On the uniqueness of Euclidean distance matrix completions. (English) Zbl 1036.15012 Linear Algebra Appl. 370, 1-14 (2003). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A29 51K05 15B48 52A05 52B35 PDFBibTeX XMLCite \textit{A. Y. Alfakih}, Linear Algebra Appl. 370, 1--14 (2003; Zbl 1036.15012) Full Text: DOI
Alfakih, Abdo Y.; Wolkowicz, Henry Two theorems on Euclidean distance matrices and Gale transform. (English) Zbl 1004.15023 Linear Algebra Appl. 340, No. 1-3, 149-154 (2002). Reviewer: B.Larato (Bari) MSC: 15B48 51K05 52B35 15B57 PDFBibTeX XMLCite \textit{A. Y. Alfakih} and \textit{H. Wolkowicz}, Linear Algebra Appl. 340, No. 1--3, 149--154 (2002; Zbl 1004.15023) Full Text: DOI