Motions of grid-like reflection frameworks

Kitson, Derek and Schulze, Bernd (2018) Motions of grid-like reflection frameworks. Journal of Symbolic Computation, 88. pp. 47-66. ISSN 0747-7171

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Abstract

Combinatorial characterisations are obtained of symmetric and anti-symmetric infinitesimal rigidity for two-dimensional frameworks with reflectional symmetry in the case of norms where the unit ball is a quadrilateral and where the reflection acts freely on the vertex set. At the framework level, these characterisations are given in terms of induced monochrome subgraph decompositions, and at the graph level they are given in terms of sparsity counts and recursive construction sequences for the corresponding signed quotient graphs.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Symbolic Computation
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2605
Subjects:
ID Code:
77419
Deposited By:
Deposited On:
22 Dec 2015 11:58
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Jul 2020 05:21