Universal and Dimensional Rigidities

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

Chapter Chapter 10 in Euclidean Distance Matrices and Their Applications in Rigidity Theory, 2018, pp 211-235 from Springer

Abstract: Abstract In this chapter, we study the universal rigidity problem of bar frameworks and the related problem of dimensional rigidity. The main tools in tackling these two problems are the Cayley configuration spectrahedron F $$\mathcal{F}$$ , defined in ( 8.10 ), and Ω, the stress matrix, defined in ( 8.13 ). The more general problem of universally linked pair of nonadjacent nodes is also studied and the results are interpreted in terms of the Strong Arnold Property and the notion of nondegeneracy in semidefinite programming.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-97846-8_10

Ordering information: This item can be ordered from
http://www.springer.com/9783319978468

DOI: 10.1007/978-3-319-97846-8_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().