---
tag: 0Z05VCBQ7Y
kind: concept
name: Cycle
msc: [05C38]
sources:
  - url: https://en.wikipedia.org/wiki/Cycle_(graph_theory)
    locator: Circuit and cycle
same_as:
  wikidata: Q245595
  wikipedia: Cycle (graph theory)
---

## Summary

A cycle in a graph is a closed walk that visits each of its vertices once and returns to its start. Cycles are central in graph theory, for example in the definitions of trees and of bipartite graphs. The node [[cycle|07CT9RDY7Q]] gives the precise definition.