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The rigidity of periodic frameworks as graphs on a fixed torus
Elissa Ross
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Source: Crossref
Published: Sep 1, 2014
DOI: 10.55016/ojs/cdm.v9i1.62183
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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.
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