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Cycle

Cycle

Feb 07, 20261 min read

Definition

A cycle in a Graph is a non-trivial Path that starts and ends at the same node.

In an Undirected Graph, a cycle must visit at least three distinct nodes before returning to the starting node. In a Directed Graph, a cycle follows outgoing edges only.

Related Concepts

  • Directed Acyclic Graph: A graph with no directed cycles
  • Tree: A graph without cycles

Graph View

  • Definition
  • Related Concepts

Backlinks

  • Directed Acyclic Graph
  • Graph
  • Path
  • Tree

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