Fully Reconstructible C1 Graphs
- 16-Cell
- Almost Hypohamiltonian Graph
- Antiprism Graph
- Apollonian Network
- Araya-Wiener Graphs
- Balaban 10-Cage
- Balaban 11-Cage
- Barnette-Bosák-Lederberg Graph
- Berlekamp-van Lint-Seidel Graph
- Biggs-Smith Graph
- Bislit Cube
- Blanuša Snarks
- Brinkmann Graph
- Brouwer-Haemers Graph
- Brussels Graph
- Cameron Cubic Hamiltonian Graphs
- Cameron Graph
- Celmins-Swart Snarks
- Chvátal Graph
- Clebsch Graph
- Complete Tripartite Graph Minus Perfect Matching
- Completely Regular Graph
- Conway-Smith Graph
- Coxeter Graph
- Crossed Prism Graph
- Cube-Connected Cycle Graph
- Cubeplex Graph
- Cubic Hypohamiltonian Graph
- Cubic Planar Hypohamiltonian Graph
- Cubical Graph
- Cubitruncated Cuboctahedral Graph
- Cuboctahedral Graph
- Danzer Graph
- de Grey-Haugstrup Graphs
- Dejter Graph
- Delsarte Graph
- Deltoidal Hexecontahedral Graph
- Deltoidal Icositetrahedral Graph
- Desargues Graph
- Descartes Snarks
- Disdyakis Dodecahedral Graph
- Disdyakis Triacontahedral Graph
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecahedral Graph
- Dodecicosahedral Graph
- Doro Graph
- Double Star Snark
- Doubly Truncated Witt Graph
- Doyle Graph
- Dürer Graph
- Dyck Graph
- Ellingham-Horton Graphs
- Errera Graph
- Exoo-Ismailescu-Lim Graphs
- Fleischner Graphs
- Flower Graph
- Flower Snark
- Folkman Graph
- Foster Cage
- Franklin Graph
- Fritsch Graph
- Frucht Graph
- Fullerene
- Games Graph
- Georges Graph
- Gewirtz Graph
- Goedgebeur Graph
- Goethals-Seidel Graphs
- Goldberg Graph
- Goldberg Snark
- Goldner-Harary Graph
- Golomb Graph
- Gosset Graph
- Grabarchuk Graph
- Gray Graph
- Great Dirhombicosidodecahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Gritsenko Graph
- Grötzsch Graph
- Grünbaum-Rigby Graph
- Halin Graph
- Hall Graph
- Hall-Janko Graph
- Hall-Janko Near Octagon
- Harborth Graph
- Harries Graph
- Harries-Wong Graph
- Hatzel Graph
- Haugstrup Graphs
- Heawood Four-Color Graph
- Heawood Graph
- Hemicubical Graph
- Hemiobelisk Graph
- Herschel Graph
- Hesse Graph
- Hexacode Graph
- Higman-Sims Graph
- Hochberg-O'Donnell Fish Graph
- Hoffman Graph
- Hoffman-Singleton Graph
- Horton Graphs
- Hypohamiltonian Graph
- Icosahedral Graph
- Icosidodecahedral Graph
- Ionin-Kharaghani Graph
- Ivanov-Ivanov-Faradjev Graph
- Janko-Kharaghani Graphs
- Janko-Kharaghani-Tonchev Graph
- Jørgensen Graph
- Kautz Graph
- Kittell Graph
- Klein Graphs
- Koolen-Riebeek Graph
- Kummer Graph
- Large Witt Graph
- Leonard Graph
- Lindgren-Sousselier Graphs
- Livingstone Graph
- Ljubljana Graph
- Local McLaughlin Graph
- Loupekine Snarks
- Markström Graph
- Mathon Graph
- McGee Graph
- McGregor Map
- McLaughlin Graph
- Meredith Graph
- Meringer Graph
- Möbius-Kantor Graph
- Möbius Ladder
- Moore Graph
- Moscow-Soicher Graph
- Nauru Graph
- Nechushtan Graph
- Norton-Smith Graph
- Octahedral Graph
- Pappus Graph
- Paulus Graphs
- Pentagonal Hexecontahedral Graph
- Pentagonal Icositetrahedral Graph
- Pentagonal Wedge Graph
- Pentakis Dodecahedral Graph
- Pentakis Icosidodecahedral Graph
- Pentatope Graph
- Perkel Graph
- Petersen Family Graphs
- Petersen Graph
- Petersen Line Graph
- Plummer-Toft Graph
- Polyhedral Graph
- Poussin Graph
- Reye Graph
- Rhombic Dodecahedral Graph
- Rhombic Triacontahedral Graph
- Rhombicosahedral Graph
- Rijeka Graph
- Robertson Graph
- Robertson-Wegner Graph
- Self-Dual Graph
- Semisymmetric Graph
- Shrikhande Graph
- Sierpiński Tetrahedron Graph
- Small Rhombicosidodecahedral Graph
- Small Rhombicuboctahedral Graph
- Small Snub Icosicosidodecahedral Graph
- Small Triakis Octahedral Graph
- Smallest Cubic Crossing Number Graph
- Smallest Quartic Crossing Number Graph
- Snark
- Snub Cubical Graph
- Snub Dodecadodecahedral Graph
- Snub Dodecahedral Graph
- Snub Icosidodecadodecahedral Graph
- Soifer Graph
- Sousselier Graph
- Spence Graph
- Suetake Graph
- Suzuki Graph
- Sylvester Graph
- Szekeres Snark
- Tesseract Graph
- Tetrahedral Graph
- Tetrahedral Johnson Graph
- Tetrakis Hexahedral Graph
- Tietze Graph
- Tilley Graph
- Torus Grid Graph
- Triakis Icosahedral Graph
- Triakis Tetrahedral Graph
- Truncated Cubical Graph
- Truncated Dodecadodecahedral Graph
- Truncated Dodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Icosahedral Graph
- Truncated Octahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Truncated Tetrahedral Graph
- Truncated Witt Graph
- Tutte 8-Cage
- Tutte 12-Cage
- Tutte Graph
- Twinplex Graph
- Utility Graph
- van Lint-Schrijver Graph
- Voronov-Neopryatnaya-Dergachev Graphs
- Wagner Graph
- Walther Graphs
- Watkins Snark
- Wells Graph
- Wheel Graph
- Wiener-Araya Graph
- Wong Graph
- Zamfirescu Graphs
- Zara Graph
- Zero-Symmetric Graph