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Physical Sciences and Engineering Mathematics Algebra and Number Theory

An invariance property for frameworks in Euclidean space

Article ID Journal Published Year Pages File Type
6416460 Linear Algebra and its Applications 2014 23 Pages PDF
Abstract

We study frameworks in Euclidean space with a property of invariance with respect to similarity transformations. By methods of linear algebra, we address the problem of when a given graph can be realized as an invariant framework in a Euclidean space of dimension greater than or equal to three.

Keywords
52B1105C5052C9939A14Similarity transformationLinear systemMoore–Penrose inverseFrameworkFinite graph
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
An invariance property for frameworks in Euclidean space
Authors
Paul Baird,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
52B11
05C50
52C99
39A14
Similarity transformation
Linear system
Moore–Penrose inverse
Framework
Finite graph
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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