Perfect Matching Graphs
- Centipede Graph
- Chvátal Graph
- Cossidente-Penttila Graph
- Coxeter Graph
- Cubic Hypohamiltonian Graph
- Cubic Planar Hypohamiltonian Graph
- Cubitruncated Cuboctahedral Graph
- Danzer Graph
- Descartes Snarks
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecicosahedral Graph
- E Graph
- Fish Graph
- Franklin Graph
- Georges Graph
- Goldberg Graph
- Goldberg Snark
- Golomb Graph
- Great Dirhombicosidodecahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Greenfield Graph
- Grünbaum-Rigby Graph
- Heule Spindle
- Ladder Graph
- Ladder Rung Graph
- Lemke Graph
- Lindgren-Sousselier Graph
- Middle Layer Graph
- Musical Graph
- Nauru Graph
- Octahedral Graph
- Paw Graph
- Pentagonal Wedge Graph
- Pentakis Icosidodecahedral Graph
- Petersen Graph
- Petersen's Theorem
- Rhombicosahedral Graph
- Rijeka Graph
- Small Snub Icosicosidodecahedral Graph
- Square Graph
- Tesseract Graph
- Tetragonal Antiwedge Graph
- Tetrahedral Graph
- Tetrakis Hexahedral Graph
- Tilley Graph
- Trapezohedral Graph
- Trsat Graphs
- Truncated Dodecadodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Walther Graphs