Periodic Rigidity on a Variable Torus Using Inductive Constructions

@article{Nixon2015PeriodicRO,
  title={Periodic Rigidity on a Variable Torus Using Inductive Constructions},
  author={Anthony Nixon and Elissa Ross},
  journal={Electr. J. Comb.},
  year={2015},
  volume={22},
  pages={P1.1}
}
  • Anthony Nixon, Elissa Ross
  • Published 2015
  • Mathematics, Computer Science
  • Electr. J. Comb.
  • In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory. 

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