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Periodic rigidity on a variable torus using inductive constructions

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
Article numberP1
<mark>Journal publication date</mark>2015
<mark>Journal</mark>The Electronic Journal of Combinatorics
Issue number1
Volume22
Number of pages30
Publication StatusPublished
<mark>Original language</mark>English

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.