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Frameworks with coordinated edge motions

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

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Frameworks with coordinated edge motions. / Schulze, Bernd; Serocold, Hattie; Theran, Louis.
In: SIAM Journal on Discrete Mathematics, Vol. 36, No. 4, 31.12.2022, p. 2602-2618.

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

Harvard

Schulze, B, Serocold, H & Theran, L 2022, 'Frameworks with coordinated edge motions', SIAM Journal on Discrete Mathematics, vol. 36, no. 4, pp. 2602-2618. https://doi.org/10.1137/20M1377539

APA

Schulze, B., Serocold, H., & Theran, L. (2022). Frameworks with coordinated edge motions. SIAM Journal on Discrete Mathematics, 36(4), 2602-2618. https://doi.org/10.1137/20M1377539

Vancouver

Schulze B, Serocold H, Theran L. Frameworks with coordinated edge motions. SIAM Journal on Discrete Mathematics. 2022 Dec 31;36(4):2602-2618. Epub 2022 Nov 9. doi: 10.1137/20M1377539

Author

Schulze, Bernd ; Serocold, Hattie ; Theran, Louis. / Frameworks with coordinated edge motions. In: SIAM Journal on Discrete Mathematics. 2022 ; Vol. 36, No. 4. pp. 2602-2618.

Bibtex

@article{4297dab51c1e46ba8aed48fce4fb4f42,
title = "Frameworks with coordinated edge motions",
abstract = "We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class. Rigidity for these coordinated frameworks is a generic property, and we characterize the rigid graphs in terms of redundant rigidity in the standard d-dimensional rigidity matroid. We also interpret our main results in terms of matroid unions.",
author = "Bernd Schulze and Hattie Serocold and Louis Theran",
year = "2022",
month = dec,
day = "31",
doi = "10.1137/20M1377539",
language = "English",
volume = "36",
pages = "2602--2618",
journal = "SIAM Journal on Discrete Mathematics",
issn = "0895-4801",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "4",

}

RIS

TY - JOUR

T1 - Frameworks with coordinated edge motions

AU - Schulze, Bernd

AU - Serocold, Hattie

AU - Theran, Louis

PY - 2022/12/31

Y1 - 2022/12/31

N2 - We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class. Rigidity for these coordinated frameworks is a generic property, and we characterize the rigid graphs in terms of redundant rigidity in the standard d-dimensional rigidity matroid. We also interpret our main results in terms of matroid unions.

AB - We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class. Rigidity for these coordinated frameworks is a generic property, and we characterize the rigid graphs in terms of redundant rigidity in the standard d-dimensional rigidity matroid. We also interpret our main results in terms of matroid unions.

U2 - 10.1137/20M1377539

DO - 10.1137/20M1377539

M3 - Journal article

VL - 36

SP - 2602

EP - 2618

JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

SN - 0895-4801

IS - 4

ER -