Locally petersen graphs

@article{Hall1980LocallyPG,
  title={Locally petersen graphs},
  author={Jonathan I. Hall},
  journal={Journal of Graph Theory},
  year={1980},
  volume={4},
  pages={173-187}
}
A graph r is locally Petersen if, for each point t of r, the graph induced by r on all points adjacent to t is isomorphic to the Petersen graph. We prove that there are exactly three isomorphism classes of connected, locally Petersen graphs and further characterize these graphs by certain of their parameters. 

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