KnowraDirected cycleLinked fromLinked fromThe 5 pages that link to Directed cycle, each with the reason it gives.All 5Broader topic 2Related 1Compared with 2Directed graphBroader topic: Cycles show when following edge directions can return to an earlier state.Directed acyclic graphCompared with: Its absence is the defining condition that distinguishes this graph from cyclic directed graphs.Antisymmetric relationRelated: Antisymmetry alone permits longer cycles, so it does not make every relation graph acyclic.Erdős–Pósa theoremCompared with: Directed cycles do not satisfy the same general packing-covering theorem as undirected cycles.Road coloring theoremBroader topic: Cycle lengths determine the gcd condition that distinguishes eligible graphs.