Triangle-Free Graphs
- 120-Cell Graph
- A Graph
- Acyclic Graph
- Alkane Graph
- Almost Hypohamiltonian Graph
- Andrásfai Graph
- Antelope Graph
- Antibox Graph
- Antilog Graph
- Apex-Selector Graphs
- Araya-Wiener Graphs
- Balaban 10-Cage
- Balaban 11-Cage
- Banana Tree
- Banner Graph
- Barnette-Bosák-Lederberg Graph
- Berman-Gévay-Pisanski Graph
- Berman Graphs
- Bicentered Tree
- Bicolorable Graph
- Bicubic Graph
- Bicubic Nonhamiltonian Graph
- Bidiakis Cube
- Bigdrum Graph
- Biggs-Smith Graph
- Bipartite Complement
- Bipartite Double Graph
- Bipartite Graph
- Bipartite Kneser Graph
- Blanuša Snarks
- Block-Cut Tree
- Bokowski-Pilaud Graph
- Bokowski-Schewe Graph
- Book Graph
- Box Graph
- Brinkmann Graph
- Bruhat Graph
- Brussels Graph
- Camel Graph
- Caterpillar Graph
- Celmins-Swart Snarks
- Centered Tree
- Centipede Graph
- Chase Graph
- Chilakamarri Graphs
- Chvátal Graph
- Claw Graph
- Clebsch Graph
- Complete Binary Tree
- Complete Bipartite Graph
- Complete Ternary Tree
- Complete Tree
- Concertina Graph
- Conext 21 Polyhedron
- Coxeter Graph
- Cross Graph
- Crossed Prism Graph
- Crown Graph
- Cubeplex Graph
- Cubic Hypohamiltonian Graph
- Cubic Planar Hypohamiltonian Graph
- Cubic Semisymmetric Graph
- Cubical Graph
- Cubitruncated Cuboctahedral Graph
- Danzer Graph
- Dejter Graph
- Deltoidal Hexecontahedral Graph
- Deltoidal Icositetrahedral Graph
- Desargues Graph
- Descartes Snarks
- Dice Graphs
- Dijkstra Tree
- Dodecadodecahedral Graph
- Dodecahedral Graph
- Domino Graph
- Double Star Snark
- Doubly Truncated Witt Graph
- Doyle Graph
- Drape Graph
- Drum Graph
- Dyck Graph
- E Graph
- Ellingham-Horton Graphs
- Empty Graph
- Extended Binary Tree
- Faulkner-Younger Graphs
- Fibonacci Cube Graph
- Firecracker Graph
- Fiveleaper Graph
- Flower Graph
- Flower Snark
- Folkman Graph
- Forest
- Fork Graph
- Foster Cage
- Franklin Graph
- Fullerene
- Fusene
- Gear Graph
- Generalized Polygon
- Georges-Kelmans Graph
- Gewirtz Graph
- Giraffe Graph
- Goedgebeur Graph
- Goldberg Snark
- Grabarchuk Graph
- Gray Graph
- Great Rhombicosidodecahedral Graph
- Great Rhombicuboctahedral Graph
- Greenfield Graph
- Grid Graph
- Grinberg Graphs
- Grötzsch Graph
- Grünbaum 20_4 Graph
- Grünbaum-Rigby Graph
- H Graph
- Haar Graph
- Hadamard Graph
- Halin Snark
- Hamilton-Laceable Graph
- Harries Graph
- Harries-Wong Graph
- Hatzel Graph
- Heawood Graph
- Hernández-Vélez-Leaños-Salazar Graph
- Herschel Graph
- Hesse Graph
- Hexacode Graph
- Hexagonal Grid Graph
- Higman-Sims Graph
- Hochberg-O'Donnell Fish Graph
- Hochberg-O'Donnell Star Graph
- Hoffman Graph
- Hoffman-Singleton Graph
- Honeycomb Toroidal Graph
- Horton Graphs
- Hypercube Graph
- Icositruncated Dodecadodecahedral Graph
- Iofinova-Ivanov Graphs
- Ivanov-Ivanov-Faradjev Graph
- Jabulani Polyhedron
- Jaws Graph
- Kiteck-Payne Graph
- Knight Graph
- Knödel Graph
- Koolen-Riebeek Graph
- Kummer Graph
- Labeled Tree
- Ladder Graph
- Ladder Rung Graph
- Leonard Graph
- Levi Graph
- Lindgren-Sousselier Graphs
- Livingstone Graph
- Ljubljana Graph
- Lobster Graph
- Locally Twisted Cube Graph
- Log Graph
- Loupekine Snarks
- Lucas Cube Graph
- M-Tree
- M_22 Graph
- Mantel's Theorem
- Maximally Graceful Tree
- Maximum Spanning Tree
- McGee Graph
- Median Graph
- Menger Sponge Graph
- Meredith Graph
- Meringer Graph
- Middle Layer Graph
- Minimum Spanning Forest
- Minimum Spanning Tree
- Möbius-Kantor Graph
- Möbius Ladder
- Mongolian Tent Graph
- Mycielski Graph
- Nauru Graph
- O'Donnell Graphs
- Ordered Tree
- Pappus Graph
- Pasch Graph
- Path Graph
- Pell Graph
- Pentagonal Hexecontahedral Graph
- Pentagonal Icositetrahedral Graph
- Perkel Graph
- Petersen Graph
- Phylogenetic Tree
- Planted Tree
- R Graph
- Reye Graph
- Rhombic Dodecahedral Graph
- Rhombic Triacontahedral Graph
- Rhombicosahedral Graph
- Robertson Diamond Graph
- Robertson Graph
- Robertson-Wegner Graph
- Rooted Forest
- Rooted Tree
- Ruby Graph
- Sailboat Graph
- Schläfli Double Six Graph
- Semisymmetric Graph
- Series-Reduced Tree
- Shift Graph
- Sidorenko Graph
- Sidorenko Incidence Graph
- Sierpiński Carpet Graph
- Simplex Graph
- Singleton Graph
- Snake Graph
- Snark
- Sousselier Graph
- Spanning Forest
- Spanning Tree
- Spence Graph
- Spider Graph
- Spoke Graph
- Square Graph
- Stacked Book Graph
- Star Graph
- Starfish Graph
- Steiner Tree
- Strongly Binary Tree
- Subtree
- Suetake Graph
- Superbox Graph
- Sylvester Graph
- Szekeres Snark
- Ternary Graph
- Ternary Tree
- Tesseract Graph
- theta_0 Graph
- Thin Tree
- Transposition Graph
- Trapezo-Rhombic Dodecahedron
- Trapezohedral Graph
- Tree
- Triangle-Free Graph
- Triplex Graph
- Tripod
- Trivalent Tree
- Truncated Dodecadodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Icosahedral Graph
- Truncated Octahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Truncated Witt Graph
- Tutte 8-Cage
- Tutte 12-Cage
- Tutte Fragment
- Tutte Graph
- Twinplex Graph
- Unrooted Tree
- Utility Graph
- van Lint-Schrijver Graph
- Wagner Graph
- Walther Graphs
- Watkins Snark
- Weak Snark
- Weakly Binary Tree
- Weighted Tree
- Wells Graph
- Wiener-Araya Graph
- Window Graph
- Wong Graph
- Zamfirescu Graphs
- Zebra Graph
- Zero-Symmetric Graph