Titlebook: Euclidean Distance Matrices and Their Applications in Rigidity Theory; Abdo Y. Alfakih Book 2018 Springer Nature Switzerland AG 2018 Eucli

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https://doi.org/10.1007/978-0-387-71167-6roblem reduces to a purely combinatorial one depending only on graph .. The literature on the theory of local and infinitesimal rigidities is vast [., ., ., ., .]. However, in this chapter, we confine ourselves to discussing only the basic results and the results pertaining to EDMs.

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The Eigenvalues of EDMs,lated to eigenvalues such as: a method for constructing nonisomorphic cospectral EDMs; the connection between EDMs, graphs, and combinatorial designs; EDMs with exactly two or three distinct eigenvalues and the EDM inverse eigenvalue problem.

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Euclidean Distance Matrices and Their Applications in Rigidity Theory978-3-319-97846-8

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记忆法

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Stephen J. Paddison,Keith S. Promislowf the most pertinent concepts and results in the theories of vector spaces, matrices, convexity, and graphs. Proofs of several of these results are included to make this chapter as self-contained as possible.

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Jinsong Han,Wei Xi,Kun Zhao,Zhiping Jiang EDMs. The chapter also discusses methods to construct new EDMs from old ones, and presents some EDM necessary and sufficient inequalities. It also provides a discussion of the Cayley–Menger matrix and Schoenberg Transformations.