| Instance of | - asymmetric graph
- complete graph (complete graph K2, 1, order-zero graph)
- planar graph
- edgeless graph (empty graph E2, 1, order-zero graph)
- path graph (complete graph K2, 1)
- path complement graph (empty graph E2, 1)
- self-complementary graph
- hypercube graph (complete graph K2, 0)
- odd graph (triangle graph, 1)
- Laman graph
- star graph (complete graph K2, 0)
- series-reduced tree
- halved cube graph (complete graph K2, 1)
- highly irregular graph
- Sudoku graph (1)
- Mycielski graph (complete graph K2, 1)
- alternating group graph
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