The Pseudo-geometric Graphs for Generalized Quadrangles of Order (3, t)

@article{Haemers2001ThePG,
  title={The Pseudo-geometric Graphs for Generalized Quadrangles of Order (3, t)},
  author={Willem H. Haemers and Edward Spence},
  journal={Eur. J. Comb.},
  year={2001},
  volume={22},
  pages={839-845}
}
The values t = 1, 3, 5, 6, 9 satisfy the standard necessary conditions for existence of a generalised quadrangle of order (3, t). This gives the following possible parameter sets for strongly regular graphs that are pseudo-geometric for such a generalised quadrangle: (v, k, λ, μ) = (16, 6, 2, 2), (40, 12, 2, 4), (64, 18, 2, 6), (76, 31, 2, 7) and (112, 30, 2, 10). It is well-known that there are two graphs with the first parameter set and that there is just one graph with the last set of… CONTINUE READING
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