EDM Completions and Bar Frameworks

Abdo Y. Alfakih
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Abdo Y. Alfakih: University of Windsor, Department of Mathematics and Statistics

Chapter Chapter 8 in Euclidean Distance Matrices and Their Applications in Rigidity Theory, 2018, pp 163-184 from Springer

Abstract: Abstract This chapter has three parts. Part one addresses the problem of EDM completions. Part two is an introduction to the theory of bar-and-joint frameworks. Such frameworks, which are interesting in their own right, are particularly useful in the study of various uniqueness notions of EDM completions. In the third part, we discuss stress matrices, which play a pivotal role in the theory of bar-and-joint frameworks. The chapter concludes with the classic Maxwell–Cremona theorem. We begin first with EDM completions.

Date: 2018
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DOI: 10.1007/978-3-319-97846-8_8

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