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Motions of grid-like reflection frameworks

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Motions of grid-like reflection frameworks. / Kitson, Derek; Schulze, Bernd.
In: Journal of Symbolic Computation, Vol. 88, 09.2018, p. 47-66.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Kitson, D & Schulze, B 2018, 'Motions of grid-like reflection frameworks', Journal of Symbolic Computation, vol. 88, pp. 47-66. https://doi.org/10.1016/j.jsc.2018.02.004

APA

Kitson, D., & Schulze, B. (2018). Motions of grid-like reflection frameworks. Journal of Symbolic Computation, 88, 47-66. https://doi.org/10.1016/j.jsc.2018.02.004

Vancouver

Kitson D, Schulze B. Motions of grid-like reflection frameworks. Journal of Symbolic Computation. 2018 Sept;88:47-66. Epub 2018 Feb 15. doi: 10.1016/j.jsc.2018.02.004

Author

Kitson, Derek ; Schulze, Bernd. / Motions of grid-like reflection frameworks. In: Journal of Symbolic Computation. 2018 ; Vol. 88. pp. 47-66.

Bibtex

@article{996b58dcf44f42bea4d81a3e10025d91,
title = "Motions of grid-like reflection frameworks",
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.",
keywords = "Bar-joint framework, Infinitesimal rigidity, Non-Euclidean rigidity, Orbit matrix, Signed graph, Sparsity counts",
author = "Derek Kitson and Bernd Schulze",
year = "2018",
month = sep,
doi = "10.1016/j.jsc.2018.02.004",
language = "English",
volume = "88",
pages = "47--66",
journal = "Journal of Symbolic Computation",
issn = "0747-7171",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Motions of grid-like reflection frameworks

AU - Kitson, Derek

AU - Schulze, Bernd

PY - 2018/9

Y1 - 2018/9

N2 - 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.

AB - 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.

KW - Bar-joint framework

KW - Infinitesimal rigidity

KW - Non-Euclidean rigidity

KW - Orbit matrix

KW - Signed graph

KW - Sparsity counts

U2 - 10.1016/j.jsc.2018.02.004

DO - 10.1016/j.jsc.2018.02.004

M3 - Journal article

VL - 88

SP - 47

EP - 66

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

SN - 0747-7171

ER -