A network theory approach to the rigidity of skeletal structures. I: Modelling and interconnection
type: Item
instance of: scholarly article
title: A network theory approach to the rigidity of skeletal structures. I: Modelling and interconnection
zbMATH Open document ID: 0537.51027
DOI: 10.1016/0166-218X(84)90007-6
author: András Recski
published in: Discrete Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Frameworks, composed of rigid rods and rotatable joints, can be considered as networks where the concepts of modelling and interconnection play the central role. Some combinatorial tools of electric network theory (mainly graphs and matroids) are applied to obtain new results for frameworks, among others some polynomial conditions for rigidity of frameworks with various tie-down structures. [Parts II and III are described in the following reviews.]
Mathematics Subject Classification ID: 51N20
Mathematics Subject Classification ID: 94C30
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 3853889
zbMATH Keywords: Frameworks
zbMATH Keywords: rigid rods
zbMATH Keywords: rotatable joints
zbMATH Keywords: electric network
zbMATH Keywords: graphs
zbMATH Keywords: matroids
zbMATH Keywords: rigidity
zbMATH Keywords: tie-down structures
MaRDI profile type: Publication
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full work available at URL: 0166-218x(84)90007-6
OpenAlex ID: W1972582442
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description: scientific article; zbMATH DE number 3853889