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Infinitesimal rigidity for non-Euclidean bar-joint frameworks

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

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Infinitesimal rigidity for non-Euclidean bar-joint frameworks. / Kitson, Derek; Power, Stephen.

In: Bulletin of the London Mathematical Society, Vol. 46, No. 4, 2014, p. 685-697.

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

Harvard

Kitson, D & Power, S 2014, 'Infinitesimal rigidity for non-Euclidean bar-joint frameworks', Bulletin of the London Mathematical Society, vol. 46, no. 4, pp. 685-697. https://doi.org/10.1112/blms/bdu017

APA

Kitson, D., & Power, S. (2014). Infinitesimal rigidity for non-Euclidean bar-joint frameworks. Bulletin of the London Mathematical Society, 46(4), 685-697. https://doi.org/10.1112/blms/bdu017

Vancouver

Kitson D, Power S. Infinitesimal rigidity for non-Euclidean bar-joint frameworks. Bulletin of the London Mathematical Society. 2014;46(4):685-697. doi: 10.1112/blms/bdu017

Author

Kitson, Derek ; Power, Stephen. / Infinitesimal rigidity for non-Euclidean bar-joint frameworks. In: Bulletin of the London Mathematical Society. 2014 ; Vol. 46, No. 4. pp. 685-697.

Bibtex

@article{2adab2c3bf6f44cbb85b65fe3c944ede,
title = "Infinitesimal rigidity for non-Euclidean bar-joint frameworks",
abstract = "The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.",
keywords = "math.MG, math.CO, 52C25 (primary), 05C10 (secondary)",
author = "Derek Kitson and Stephen Power",
note = "{\textcopyright} 2014 London Mathematical Society",
year = "2014",
doi = "10.1112/blms/bdu017",
language = "English",
volume = "46",
pages = "685--697",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Infinitesimal rigidity for non-Euclidean bar-joint frameworks

AU - Kitson, Derek

AU - Power, Stephen

N1 - © 2014 London Mathematical Society

PY - 2014

Y1 - 2014

N2 - The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.

AB - The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.

KW - math.MG

KW - math.CO

KW - 52C25 (primary), 05C10 (secondary)

U2 - 10.1112/blms/bdu017

DO - 10.1112/blms/bdu017

M3 - Journal article

VL - 46

SP - 685

EP - 697

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 4

ER -