Periodic rigidity on a variable torus using inductive constructions

Nixon, Anthony and Ross, Elissa (2015) Periodic rigidity on a variable torus using inductive constructions. The Electronic Journal of Combinatorics, 22 (1).

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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.

Item Type:
Journal Article
Journal or Publication Title:
The Electronic Journal of Combinatorics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2614
Subjects:
ID Code:
72368
Deposited By:
Deposited On:
06 Jan 2015 10:59
Refereed?:
Yes
Published?:
Published
Last Modified:
03 Dec 2020 02:17