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A semicomplete digraph is a quasi-transitive digraph. There are extensions of quasi-transitive digraphs called k-quasi-transitive digraphs. [5] Oriented graphs are directed graphs having no opposite pairs of directed edges (i.e. at most one of (x, y) and (y, x) may be arrows of the graph).
The directed graph (or digraph) on the right is an orientation of the undirected graph on the left. In graph theory, an orientation of an undirected graph is an assignment of a direction to each edge, turning the initial graph into a directed graph.
A directed graph or digraph is a graph in which edges have orientations. In one restricted but very common sense of the term, [ 5 ] a directed graph is an ordered pair G = ( V , E ) {\displaystyle G=(V,E)} comprising:
Digraph, often misspelled as diagraph, may refer to: Digraph (orthography), a pair of characters used together to represent a single sound, such as "nq" in Hmong RPA; Ligature (writing), the joining of two letters as a single glyph, such as "æ" Digraph (computing), a group of two characters in computer source code to be treated as a single ...
A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).
A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction). [ 1 ] Graph theory itself is typically dated as beginning with Leonhard Euler 's 1736 work on the Seven Bridges of Königsberg .
Directed acyclic graphs are also called acyclic directed graphs [1] or acyclic digraphs. [2] Definitions
If G is a directed graph, its directed line graph or line digraph has one vertex for each edge of G. Two vertices representing directed edges from u to v and from w to x in G are connected by an edge from uv to wx in the line digraph when v = w. That is, each edge in the line digraph of G represents a length-two directed path in G.