The rigidity of periodic frameworks as graphs on a fixed torus
DOI:
https://doi.org/10.11575/cdm.v9i1.62183Abstract
We define periodic frameworks as graphs on the torus, using the language of gain graphs. We present some fundamental definitions and results about the infinitesimal rigidity of graphs on a torus of fixed size and shape, and find necessary conditions for the generic rigidity of periodic frameworks on a d-dimensional fixed torus.Downloads
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