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 to Discrete Mathematics},
  year={2014},
  volume={9}
}
  • Elissa Ross
  • Published 2014 in Contributions to Discrete Mathematics
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.