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:
“If Mr. Vincent Price were to be co-starred with Miss Bette Davis in a story by Mr. Edgar Allan Poe directed by Mr. Roger Corman, it could not fully express the pent-up violence and depravity of a single day in the life of the average family.”
—Quentin Crisp (b. 1908)
“Only mediocrities progress. An artist revolves in a cycle of masterpieces, the first of which is no less perfect than the last.”
—Oscar Wilde (1854–1900)
“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)