Fully Reconstructible C1 Graphs
- Almost Hypohamiltonian Graph
- Cubic Hypohamiltonian Graph
- Cubic Planar Hypohamiltonian Graph
- Cubitruncated Cuboctahedral Graph
- Danzer Graph
- Descartes Snarks
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecicosahedral Graph
- Goldberg Graph
- Goldberg Snark
- Goldner-Harary Graph
- Great Dirhombicosidodecahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Grünbaum-Rigby Graph
- Lindgren-Sousselier Graph
- Octahedral Graph
- Pentakis Icosidodecahedral Graph
- Pentatope Graph
- Plummer-Toft Graph
- Rhombicosahedral Graph
- Small Snub Icosicosidodecahedral Graph
- Tesseract Graph
- Tetrahedral Graph
- Tetrahedral Johnson Graph
- Tilley Graph
- Truncated Dodecadodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Walther Graphs
- Wheel Graph