Reconstructible Graphs
- 13 Colonies Graph
- 16-Cell Graph
- 24-Cell Graph
- 120-Cell Graph
- 600-Cell Graph
- A Graph
- Accordion Graph
- Alkane Graph
- Alternating Group Cayley Graph
- Antenna Graph
- Antibox Graph
- Antilog Graph
- Antiprism Graph
- Apex-Selector Graphs
- Araya-Wiener Graphs
- Archimedean Graph
- Automorphic Graph
- Balaban 10-Cage
- Balaban 11-Cage
- Banana Tree
- Banner Graph
- Barnette-Bosák-Lederberg Graph
- Beineke Graphs
- Berlekamp-van Lint-Seidel Graph
- Berman-Gévay-Pisanski Graph
- Berman Graphs
- Bicubic Graph
- Bicubic Nonhamiltonian Graph
- Bidiakis Cube
- Bigdrum Graph
- Biggs-Smith Graph
- Bipartite Kneser Graph
- Bislit Cube
- Blanuša Snarks
- Bokowski-Pilaud Graph
- Bokowski-Schewe Graph
- Bouwer Graph
- Box Graph
- Brinkmann Graph
- Brouwer-Haemers Graph
- Brussels Graph
- Bull Graph
- Butterfly Graph
- Cage Graph
- Cameron Cubic Hamiltonian Graphs
- Cameron Graph
- Cameron-Montanaro-Newman-Severini-Winter Graph
- Catlin Graph
- Celmins-Swart Snarks
- Chang Graphs
- Chase Graph
- Chiu Graph
- Chvátal Graph
- Claw Graph
- Clebsch Graph
- Complete Tree
- Complete Tripartite Graph
- Complete Tripartite Graph Minus Perfect Matching
- Completely Regular Graph
- Concertina Graph
- Conference Graph
- Conway Graphs
- Conway-Smith Graph
- Cossidente-Penttila Graph
- Coxeter Graph
- Cricket Graph
- Cross Graph
- Crossed Dodecahedral Graph
- Crossed Elongated Square Gyrobicupola Graph
- Crossed Prism Graph
- Cubeplex Graph
- Cubic Graph
- Cubic Hypohamiltonian Graph
- Cubic Nonhamiltonian Graph
- Cubic Nonplanar Graph
- Cubic Planar Hypohamiltonian Graph
- Cubic Polyhedral Graph
- Cubic Semisymmetric Graph
- Cubic Symmetric Graph
- Cubic Vertex-Transitive Graph
- Cubical Graph
- Cubitruncated Cuboctahedral Graph
- Cuboctahedral Graph
- Cycle Complement Graph
- Cycle Graph
- Cyclotomic Graph
- Danzer Graph
- Dart Graph
- Dejter Graph
- Delsarte Graph
- Deltoidal Icositetrahedral Graph
- Desargues Graph
- Descartes Snarks
- Diamond Graph
- Dice Graphs
- Dipyramidal Graph
- Disdyakis Dodecahedral Graph
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecahedral Graph
- Dodecicosahedral Graph
- Domino Graph
- Doob Graph
- Doro Graph
- Double Cone Graph
- Double Star Snark
- Doubly Truncated Witt Graph
- Doyle Graph
- Drape Graph
- Drum Graph
- Dürer Graph
- Dyck Graph
- E Graph
- Eiffel Tower Graph
- Ellingham-Horton Graphs
- Errera Graph
- Fabrici-Madaras Graphs
- Faulkner-Younger Graphs
- Fish Graph
- Flower Graph
- Flower Snark
- Folkman Graph
- Fork Graph
- Foster Cage
- Foster Graph
- Franklin Graph
- Fricke-Macbeath Graph
- Fritsch Graph
- Frucht Graph
- Fullerene
- Games Graph
- Gem Graph
- Generalized Dodecagon
- Generalized Moore Graph
- Generalized Octagon
- Generalized Petersen Graph
- Generalized Polygon
- Generalized Quadrangle
- Georges-Kelmans Graph
- Gewirtz Graph
- Goddard-Henning 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 Rhombicosidodecahedral Graph
- Great Rhombicuboctahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Greenfield Graph
- Grinberg Graphs
- Gritsenko Graph
- Grötzsch Graph
- Grünbaum 20_4 Graph
- Grünbaum-Rigby Graph
- H Graph
- Hadamard Graph
- Hajós Graph
- Half-Arc-Transitive Graph
- Halin Snark
- Hall Graph
- Hall-Janko Graph
- Hall-Janko Near Octagon
- Halved Folded Cube Graph
- Hamilton Decomposable Graph
- Hammer Graph
- Harborth Graph
- Harries Graph
- Harries-Wong Graph
- Harvey-Royle Graphs
- Heawood Graph
- Hemicubical Graph
- Hemiobelisk Graph
- Herschel Graph
- Hesse Graph
- Heule Spindle
- Hexacode Graph
- Higman-Sims Graph
- Hochberg-O'Donnell Fish Graph
- Hoffman Graph
- Hoffman-Singleton Graph
- Honeycomb Toroidal Graph
- Horton Graphs
- House Graph
- House X Graph
- HSBC Graph
- Human Skeleton Graph
- Icosahedral Graph
- Icosidodecahedral Graph
- Icositruncated Dodecadodecahedral Graph
- Iofinova-Ivanov Graphs
- Ionin-Kharaghani Graph
- Ivanov-Ivanov-Faradjev Graph
- Jabulani Polyhedron
- Janko-Kharaghani Graphs
- Janko-Kharaghani-Tonchev Graph
- Jaws Graph
- Jørgensen Graph
- Kayak Paddle Graph
- KC Graph
- Keller Graph
- Kite Graph
- Kiteck-Payne Graph
- Kittell Graph
- Klein Graphs
- Koolen-Riebeek Graph
- Krackhardt Kite
- Kummer Graph
- Kuratowski Graph
- Lalonde Graph
- Large Witt Graph
- LCF Notation
- Lemke Graph
- Leonard Graph
- Livingstone Graph
- Ljubljana Graph
- Local McLaughlin Graph
- Locally Petersen Graph
- Log Graph
- Lollipop Graph
- Longhorn Graph
- Loupekine Snarks
- M_22 Graph
- Mančinska-Roberson Graphs
- Markström Graph
- Mathon Graph
- Maverick Graph
- Maximally Graceful Tree
- McGee Graph
- McLaughlin Graph
- Meredith Graph
- Meringer Graph
- Metelsky Graphs
- Middle Layer Graph
- Minimally Curvy Graph
- Möbius-Kantor Graph
- Möbius Ladder
- Moore Graph
- Moscow-Soicher Graph
- Moser Spindle
- Moth Graph
- Musical Graph
- Nauru Graph
- Nechushtan Graph
- Necklace Graph
- Net Graph
- Norton-Smith Graph
- Octahedral Graph
- Octic Graph
- Odd Graph
- Owens Graphs
- Paley Graph
- Pan Graph
- Pappus Graph
- Parachute Graph
- Parapluie Graph
- Pasch Graph
- Pasechnik Graph
- Patterson Graph
- Paulus Graphs
- Paulus-Rozenfeld-Thompson Graph
- Paw Graph
- Peisert Graph
- Pentagonal Wedge Graph
- Pentatope Graph
- Perkel Graph
- Petersen Family Graphs
- Petersen Graph
- Petersen Line Graph
- Pineapple Graph
- Platonic Graph
- Polyhedral 4-Vertex Graph
- Polyhedral 5-Vertex Graph
- Polyhedral 6-Vertex Graph
- Polyhedral 7-Vertex Graph
- Polyhedral 8-Vertex Graph
- Poussin Graph
- Prism Graph
- Quartic Graph
- Quartic Nonhamiltonian Graph
- Quartic Symmetric Graph
- Quartic Vertex-Transitive Graph
- Quasi-Cubic Graph
- Quasi-Quintic Graph
- Quasi-Regular Graph
- Quintic Graph
- Quintic Nonhamiltonian Graph
- Quintic Symmetric Graph
- R Graph
- Raiskii Graph
- Reconstructible Graph
- Reye Graph
- Rhombic Dodecahedral Graph
- Rhombicosahedral Graph
- Rijeka Graph
- Rising Sun Graph
- Robertson Diamond Graph
- Robertson Graph
- Robertson-Wegner Graph
- Royle Graphs
- Rubik's Graph
- Ruby Graph
- Sailboat Graph
- Schläfli Graph
- Self-Complementary Graph
- Semisymmetric Graph
- Septic Graph
- Sextic Graph
- Shi-Krotov-Solé Graph
- Shrikhande Graph
- Sims Graph
- Singleton 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
- Soicher Graphs
- Soifer Graph
- Šoltés Graphs
- Sousselier Graph
- Spence Graph
- Spider Graph
- Square Graph
- Starfish Graph
- Suetake Graph
- Superbox Graph
- Suzuki Graph
- Suzuki Tower
- Sylvester Graph
- Szekeres Snark
- Tadpole Graph
- Taylor Graph
- Tesseract Graph
- Tetragonal Antiwedge Graph
- Tetrahedral Graph
- Tetrahedral Johnson Graph
- Tetrakis Hexahedral Graph
- theta_0 Graph
- Tietze Graph
- Tilley Graph
- Torus Grid Graph
- Trapezo-Rhombic Dodecahedron
- Triakis Tetrahedral Graph
- Triakis Truncated Tetrahedron
- Triangle Graph
- Triangle-Replaced Graph
- Triangular Graph
- Triangular Honeycomb Acute Knight Graph
- Triangular Honeycomb Queen Graph
- Triangular Honeycomb Rook Graph
- Triangular Snake Graph
- Triplex Graph
- Tripod
- Tritetrahedral Graph
- Trsat Graphs
- Truncated Cubical Graph
- Truncated Dodecadodecahedral Graph
- Truncated Dodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Icosahedral Graph
- Truncated Octahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Truncated Square Lattice Graph
- Truncated Tetrahedral Graph
- Truncated Witt Graph
- Tutte 8-Cage
- Tutte 12-Cage
- Tutte Fragment
- Tutte Graph
- Twinplex Graph
- Twisted Isaacs Graph
- Two-Regular Graph
- Uniquely Pancyclic Graph
- Utility Graph
- van Cleemput-Zamfirescu Graphs
- van Lint-Schrijver Graph
- Wagner Graph
- Walther Graphs
- Watkins Snark
- Weak Snark
- Wells Graph
- Wheel Complement Graph
- Wheel Graph
- Window Graph
- Wong Graph
- Zara Graph
- Zero-Symmetric Graph