$\text{Bipartite Doubles}$

GraphNo. of vertices
$\text{Doubled }O_3 \cong \text{Desargues graph}$$20$
$\text{Doubled }H(2,4) \cong \text{Doubled Shrikhande graph} \cong \text{Folded 6-cube}$$32$
$\text{Doubled }O_4$$70$
$\text{Doubled Hoffman-Singleton graph}$$100$
$\text{Doubled Gewirtz graph}$$112$
$\text{Doubled Higman-Sims graph}$$200$
$\text{Doubled }M_{22} \text{ graph}$$154$
$\text{Doubled }O_5$$252$
$\text{Incidence graphs of Leonard semibiplanes}$$288$

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Last updated: 21 February 2017