Strongly Regular Graph - Examples

Examples

  • The cycle of length 5 is an srg(5,2,0,1).
  • The Petersen graph is an srg(10,3,0,1).
  • The Clebsch graph is an srg(16,5,0,2).
  • The Shrikhande graph is an srg(16,6,2,2) which is not a distance-transitive graph.
  • The Line graph of Generalized quadrangle GQ(2,4) are srg(27,10,1,5).
  • The Schläfli graph is an srg(27,16,10,8).
  • The Chang graphs are srg(28,12,6,4).
  • The Hoffman–Singleton graph is an srg(50,7,0,1).
  • The Sims-Gewirtz graph is an (56,10,0,2).
  • The M22 graph is an srg(77,16,0,4).
  • The Brouwer–Haemers graph is an srg(81,20,1,6).
  • The Higman–Sims graph is an srg(100,22,0,6).
  • The Local McLaughlin graph is an srg(162,56,10,24).
  • The Paley graph of order q is an srg(q, (q − 1)/2, (q − 5)/4, (q − 1)/4).
  • The n × n square rook's graph is an srg(n2, 2n − 2, n − 2, 2).

A strongly regular graph is called primitive if both the graph and its complement are connected. All the above graphs are primitive, as otherwise μ=0 or μ=k.

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