Switching of Edges in Strongly Regular Graphs I: A Family of Partial Difference Sets on 100 Vertices

@article{Jrgensen2003SwitchingOE,
  title={Switching of Edges in Strongly Regular Graphs I: A Family of Partial Difference Sets on 100 Vertices},
  author={Leif K. J\orgensen and Mikhail H. Klin},
  journal={Electr. J. Comb.},
  year={2003},
  volume={10}
}
We present 15 new partial difference sets over 4 non-abelian groups of order 100 and 2 new strongly regular graphs with intransitive automorphism groups. The strongly regular graphs and corresponding partial difference sets have the following parameters: (100,22,0,6), (100,36,14,12), (100,45,20,20), (100,44,18,20). The existence of strongly regular graphs with the latter set of parameters was an open question. Our method is based on combination of Galois correspondence between permutation… CONTINUE READING

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