Cycles
- Acyclic Digraph
- Acyclic Graph
- Almost Hamiltonian Graph
- Ant Colony Algorithm
- Barnette's Conjecture
- Berge Graph
- Billiards
- Bunimovich Stadium
- Camel Graph
- Chinese Postman Problem
- Chordal Graph
- Chordless Cycle
- Chordless Graph
- Circuit
- Circuit Rank
- Cycle Chord
- Cycle Polynomial
- Cycle Rank
- Dirac's Theorem
- Euler Graph
- Eulerian Cycle
- Eulerian Graph
- Eulerian Tour
- EulerianGraphQ
- Feedback Vertex Set
- Feedback Vertex Set Number
- FindEulerianCycle
- FindHamiltonianCycle
- Fiveleaper Graph
- Fleury's Algorithm
- Forest
- Fundamental Cycle
- Giraffe Graph
- Girth
- Graph Antihole
- Graph Betti Number
- Graph Cycle
- Graph Hole
- Graph Nullity
- Graph Triangle
- Grinberg Formula
- Hamilton Circuit
- Hamilton-Connected Graph
- Hamilton Cycle
- Hamilton Decomposition
- Hamilton Graph
- Hamiltonian Cycle
- Hamiltonian Graph
- HamiltonianGraphQ
- HamiltonianQ
- Hypotraceable Graph
- k-Cyclic Graph
- King Graph
- Knight's Tour Graph
- Königsberg Bridge Problem
- Kozyrev-Grinberg Theory
- Magic Tour
- Odd Chordless Cycle
- Ore's Theorem
- Pancyclic Graph
- Path
- Planar Hypotraceable Graph
- Pósa's Conjecture
- Pósa's Theorem
- Pseudoforest
- Pseudotree
- Rook's Graph
- Rook's Tour Graph
- Seymour Conjecture
- Stadium Billiards
- Tait Cycle
- Tait's Hamiltonian Graph Conjecture
- Traveler's Problem
- Traveling Salesman Constants
- Traveling Salesman Problem
- Unicursal Circuit
- Uniquely Pancyclic Graph