Cycle Graph - Directed Cycle Graph

A directed cycle graph is a directed version of a cycle graph, with all the edges being oriented in the same direction.

In a directed graph, a set of edges which contains at least one edge (or arc) from each directed cycle is called a feedback arc set. Similarly, a set of vertices containing at least one vertex from each directed cycle is called a feedback vertex set.

A directed cycle graph has uniform in-degree 1 and uniform out-degree 1.

Directed cycle graphs are Cayley graphs for cyclic groups (see e.g. Trevisan).

Read more about this topic:  Cycle Graph

Famous quotes containing the words directed, cycle and/or graph:

    Sadism is all right in its place, but it should be directed to proper ends.
    Sigmund Freud (1856–1939)

    Oh, life is a glorious cycle of song,
    A medley of extemporanea;
    And love is a thing that can never go wrong;
    And I am Marie of Roumania.
    Dorothy Parker (1893–1967)

    When producers want to know what the public wants, they graph it as curves. When they want to tell the public what to get, they say it in curves.
    Marshall McLuhan (1911–1980)