Levi graph
bipartite graph associated with an incidence structure
Gray graph
undirected bipartite graph with 54 vertices and 81 edges
Ljubljana graph
undirected bipartite graph with 112 vertices and 168 edges
Desargues graph
highly symmetric graph with 20 vertices and 30 edges
Pappus graph
graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus configuration