Fully Reconstructible C2 Graphs
- Berlekamp-van Lint-Seidel Graph
- Brinkmann Graph
- Brouwer-Haemers Graph
- Brussels Graph
- Cameron Graph
- Cameron-Montanaro-Newman-Severini-Winter Graph
- Chvátal Graph
- Clebsch Graph
- Conway-Smith Graph
- Cuboctahedral Graph
- Danzer Graph
- Dejter Graph
- Delsarte Graph
- Disdyakis Dodecahedral Graph
- Disdyakis Triacontahedral Graph
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecicosahedral Graph
- Doro Graph
- Doubly Truncated Witt Graph
- Doyle Graph
- Errera Graph
- Folkman Graph
- Foster Cage
- Fritsch Graph
- Gewirtz Graph
- Goddard-Henning Graph
- Goethals-Seidel Graphs
- Goldner-Harary Graph
- Gosset Graph
- Grabarchuk Graph
- Great Dirhombicosidodecahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Gritsenko Graph
- Hall Graph
- Hall-Janko Graph
- Hall-Janko Near Octagon
- Harborth Graph
- Heawood Four-Color Graph
- Hexacode Graph
- Higman-Sims Graph
- Hoffman Graph
- Hoffman-Singleton Graph
- Icosahedral Graph
- Icosidodecahedral Graph
- Janko-Kharaghani-Tonchev Graph
- Jørgensen Graph
- Kittell Graph
- Koolen-Riebeek Graph
- Kummer Graph
- Lalonde Graph
- Leonard Graph
- Livingstone Graph
- Local McLaughlin Graph
- McLaughlin Graph
- Meringer Graph
- Moore Four-Color Graph
- Nechushtan Graph
- Octahedral Graph
- Pentakis Dodecahedral Graph
- Pentakis Icosidodecahedral Graph
- Pentatope Graph
- Perkel Graph
- Petersen Line Graph
- Poussin Graph
- Rhombicosahedral Graph
- Rijeka Graph
- Robertson Graph
- Robertson-Wegner Graph
- Shrikhande Graph
- Small Rhombicosidodecahedral Graph
- Small Rhombicuboctahedral Graph
- Small Snub Icosicosidodecahedral Graph
- Small Triakis Octahedral Graph
- Snub Cubical Graph
- Snub Dodecadodecahedral Graph
- Snub Dodecahedral Graph
- Snub Icosidodecadodecahedral Graph
- Soifer Graph
- Spence Graph
- Suetake Graph
- Tesseract Graph
- Tetrahedral Graph
- Tetrakis Hexahedral Graph
- Tilley Graph
- Triakis Icosahedral Graph
- Triakis Tetrahedral Graph
- Truncated Witt Graph
- van Lint-Schrijver Graph
- Wells Graph
- Wong Graph
- Zara Graph