Directed graph - Wikipedia
WEBIn mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs. Definition. In formal terms, a directed graph is an ordered pair G = (V, A) where [1] V is a set whose elements are called vertices, nodes, or points;
WEBA directed graph is called a directed acyclic graph (or, DAG) if it does not contain any directed cycles. A first glance, DAGs don’t appear to be particularly interesting.
WEBA directed graph, G, consists of a nonempty set, V.G/, called the vertices of G, and a set, E.G/, called the edges of G. An element of V.G/ is called a vertex. A vertex is also called a node; the words “vertex” and “node” are used interchangeably. An element of E.G/ is called a directed edge.
6.042J Chapter 6: Directed graphs - MIT OpenCourseWare
WEBThis resource contains information about Directed graphs.
Directed Graph -- from Wolfram MathWorld
WEBAug 22, 2024 · Directed Graph. A graph in which each graph edge is replaced by a directed graph edge, also called a digraph. A directed graph having no multiple edges or loops (corresponding to a binary adjacency matrix with 0s on the diagonal) is called a simple directed graph.
4.2 Directed Graphs - Princeton University
WEBJan 14, 2020 · A directed graph (or digraph) is a set of vertices and a collection of directed edges that each connects an ordered pair of vertices. We say that a directed edge points from the first vertex in the pair and points to the second vertex in the pair.
12.1: Directed Graphs - Mathematics LibreTexts
WEBDefinition: Directed Graph. A directed graph, or digraph for short, consists of two sets: \(V\), whose elements are the vertices of the digraph; and \(A\), whose elements are ordered pairs from \(V\), so \[A ⊆ \{(v_1, v_2) | v_1, v_2 ∈ V \}.\] The elements of \(A\) are referred to as the arcs of the digraph.
Directed graph definition - Math Insight
WEBDirected graph definition. A directed graph is graph, i.e., a set of objects (called vertices or nodes) that are connected together, where all the edges are directed from one vertex to another. A directed graph is sometimes called a digraph or a directed network.
5.11: Directed Graphs - Mathematics LibreTexts
WEBA directed graph, also called a digraph, is a graph in which the edges have a direction. This is usually indicated with an arrow on the edge; more formally, if \(v\) and \(w\) are vertices, an edge is an unordered pair \(\{v,w\}\), while a directed edge, called an arc , is an ordered pair \((v,w)\) or \((w,v)\).
Directed graph - Art of Problem Solving
WEBA directed graph (sometimes abbreviated digraph) is a graph in which each edge is assigned an orientation. Formally, a digraph is a pair, of a (usually finite) set of vertices together with a multiset of edges such that for each we have . Every digraph has a natural underlying graph where .