title: Cyclic graph
text: # Cyclic graph
  
  In mathematics, a cyclic graph may mean a graph that contains a cycle, or a graph that is a cycle, with varying definitions of cycles. See:
  
  * Cycle (graph theory), a cycle in a graph
  * Forest (graph theory), an undirected graph with no cycles
  * Biconnected graph, an undirected graph in which every edge belongs to a cycle
  * Directed acyclic graph, a directed graph with no cycles
  * Strongly connected graph, a directed graph in which every edge belongs to a cycle
  * Aperiodic graph, a directed graph in which the cycle lengths have no nontrivial common divisor
  * Pseudoforest, a directed or undirected graph in which every connected component includes at most one cycle
  * Cycle graph, a graph that has the structure of a single cycle
  * Pancyclic graph, a graph that has cycles of all possible lengths
  * Cycle detection (graph theory), the algorithmic problem of finding cycles in graphs
  
  Other similarly-named concepts include
  
  * Cycle graph (algebra), a graph that illustrates the cyclic subgroups of a group
  * Circulant graph, a graph with an automorphism which permutes its vertices cyclically.
  