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Periodic rigidity on a variable torus using inductive constructions

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

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Periodic rigidity on a variable torus using inductive constructions. / Nixon, Anthony; Ross, Elissa.
In: The Electronic Journal of Combinatorics , Vol. 22, No. 1, P1, 2015.

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

Harvard

Nixon, A & Ross, E 2015, 'Periodic rigidity on a variable torus using inductive constructions', The Electronic Journal of Combinatorics , vol. 22, no. 1, P1. <http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p1/0>

APA

Nixon, A., & Ross, E. (2015). Periodic rigidity on a variable torus using inductive constructions. The Electronic Journal of Combinatorics , 22(1), Article P1. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p1/0

Vancouver

Nixon A, Ross E. Periodic rigidity on a variable torus using inductive constructions. The Electronic Journal of Combinatorics . 2015;22(1):P1.

Author

Nixon, Anthony ; Ross, Elissa. / Periodic rigidity on a variable torus using inductive constructions. In: The Electronic Journal of Combinatorics . 2015 ; Vol. 22, No. 1.

Bibtex

@article{3d4201729372459cae2748bdc9d20673,
title = "Periodic rigidity on a variable torus using inductive constructions",
abstract = "In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory.",
author = "Anthony Nixon and Elissa Ross",
year = "2015",
language = "English",
volume = "22",
journal = "The Electronic Journal of Combinatorics ",
publisher = "Electronic Journal of Combinatorics",
number = "1",

}

RIS

TY - JOUR

T1 - Periodic rigidity on a variable torus using inductive constructions

AU - Nixon, Anthony

AU - Ross, Elissa

PY - 2015

Y1 - 2015

N2 - In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory.

AB - In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory.

M3 - Journal article

VL - 22

JO - The Electronic Journal of Combinatorics

JF - The Electronic Journal of Combinatorics

IS - 1

M1 - P1

ER -