The rigidity of periodic frameworks as graphs on a fixed torus

@article{Ross2014TheRO,
  title={The rigidity of periodic frameworks as graphs on a fixed torus},
  author={Elissa Ross},
  journal={Contributions Discret. Math.},
  year={2014},
  volume={9}
}
  • Elissa Ross
  • Published 2014
  • Computer Science, Mathematics
  • Contributions Discret. Math.
  • 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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