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Classes of EDMs

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Euclidean Distance Matrices and Their Applications in Rigidity Theory

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Abstract

Euclidean Distance Matrices fall into two classes: spherical and nonspherical. The first part of this chapter discusses various characterizations and several subclasses of spherical EDMs. Among the examples of spherical EDMs discussed are: regular EDMs, cell matrices, Manhattan distance matrices, Hamming distance matrices on the hypercube, distance matrices of trees and resistance distance matrices of electrical networks. The second part focuses on nonspherical EDMs and their characterization. As an interesting example of nonspherical EDMs, we discuss multispherical EDMs.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada

    Abdo Y. Alfakih

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  1. Abdo Y. Alfakih
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Alfakih, A.Y. (2018). Classes of EDMs. In: Euclidean Distance Matrices and Their Applications in Rigidity Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-97846-8_4

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