Cycles
- Acyclic Digraph
- Acyclic Graph
- Almost Hamiltonian Graph
- Anarboricity
- Ant Colony Algorithm
- Barnette's Conjecture
- Berge Graph
- BEST Theorem
- Billiards
- Camel Graph
- Chinese Postman Problem
- Chordal Graph
- Chordless Cycle
- Chordless Graph
- Circuit
- Circuit Rank
- Cycle Chord
- Cycle Basis
- Cycle Length Distribution Sequence
- Cycle Polynomial
- Dirac's Theorem
- Euler Graph
- Eulerian Cycle
- Eulerian Digraph
- Eulerian Graph
- Feedback Vertex Set
- Feedback Vertex Set Number
- Fiveleaper Graph
- Fleury's Algorithm
- Forest
- Fundamental Cycle
- Giraffe Graph
- Girth
- Graph Antihole
- Graph Cycle
- Graph Hole
- Graph Triangle
- Grinberg Formula
- Hamilton-Connected Graph
- Hamilton Decomposition
- Hamiltonian Cycle
- Hamiltonian Graph
- Hypotraceable Graph
- k-Cyclic Graph
- King Graph
- Königsberg Bridge Problem
- Kozyrev-Grinberg Theory
- Longest Cycle
- Magic Tour
- Odd Chordless Cycle
- Ore's Theorem
- Pancyclic Graph
- Path
- Planar Hypotraceable Graph
- Pósa Rotation
- Pósa's Conjecture
- Pósa's Theorem
- Pseudoforest
- Pseudotree
- Seymour Conjecture
- Stadium Billiards
- Tait Cycle
- Tait's Hamiltonian Graph Conjecture
- Traveling Salesman Constants
- Traveling Salesman Problem
- Unicursal Circuit
- Uniquely Pancyclic Graph