The rigidity of periodic frameworks as graphs on a fixed torus

Published 29 Feb 2012 in math.MG | (1202.6652v1)

Abstract: 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 pe- riodic frameworks on a d-dimensional fixed torus.

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Elissa Ross

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