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...
16 KB (1,937 words) - 05:02, 12 April 2025
mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists...
45 KB (5,646 words) - 17:54, 7 June 2025
Force-directed graph drawing algorithms are a class of algorithms for drawing graphs in an aesthetically-pleasing way. Their purpose is to position the...
17 KB (2,224 words) - 15:07, 9 June 2025
vertices are distinct, so are the edges). A directed path (sometimes called dipath) in a directed graph is a finite or infinite sequence of edges which...
10 KB (1,175 words) - 02:08, 11 February 2025
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is...
15 KB (1,857 words) - 03:10, 25 February 2025
science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within...
16 KB (1,763 words) - 02:32, 14 October 2024
this graph is directed, because owing money is not necessarily reciprocated. Graphs are the basic subject studied by graph theory. The word "graph" was...
28 KB (3,671 words) - 04:30, 15 May 2025
In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices (at least 3, if...
5 KB (518 words) - 00:45, 8 October 2024
as a forest. An acyclic directed graph, which is a digraph without directed cycles, is often called a directed acyclic graph, especially in computer science...
109 KB (16,011 words) - 18:32, 30 April 2025
neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy the stronger condition that the indegree and outdegree...
6 KB (857 words) - 09:51, 10 April 2025
. A directed graph or digraph is a graph in which edges have orientations. In one restricted but very common sense of the term, a directed graph is an...
50 KB (6,237 words) - 21:13, 9 May 2025
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges...
44 KB (5,368 words) - 10:55, 7 June 2025
which handled only directed acyclic graphs. At its simplest, DOT can be used to describe an undirected graph. An undirected graph shows simple relations...
10 KB (987 words) - 08:20, 17 June 2025
in particular, in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. Both directed and undirected versions...
16 KB (1,821 words) - 21:44, 19 January 2025
Laplacian matrix (redirect from Kirchhoff matrix (of a graph))
For directed graphs, either the indegree or outdegree might be used, depending on the application, as in the following example: In the directed graph, the...
45 KB (5,042 words) - 19:15, 16 May 2025
trees. A directed tree, oriented tree, polytree, or singly connected network is a directed acyclic graph (DAG) whose underlying undirected graph is a tree...
27 KB (3,383 words) - 16:48, 14 March 2025
Eulerian path (redirect from Eulerian graph)
component has an Eulerian cycle. For directed graphs, "path" has to be replaced with directed path and "cycle" with directed cycle. The definition and properties...
29 KB (3,459 words) - 04:25, 9 June 2025
Directed acyclic word graph (DAWG) may refer to two related, but distinct, automata constructions in computer science: Deterministic acyclic finite state...
325 bytes (77 words) - 14:53, 23 July 2019
Hypergraph (redirect from Directed hypergraph)
vertices in its head. The definition above generalizes from a directed graph to a directed hypergraph by defining the head or tail of each edge as a set...
51 KB (6,847 words) - 06:34, 9 June 2025
digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction). Graph theory itself...
14 KB (1,253 words) - 18:25, 9 May 2025
as endpoints. A graph with just one vertex is connected. An edgeless graph with two or more vertices is disconnected. A directed graph is called weakly...
17 KB (2,062 words) - 23:37, 25 March 2025
storage mechanism of graph databases can vary. Relationships are first-class citizens in a graph database and can be labelled, directed, and given properties...
53 KB (4,714 words) - 22:02, 3 June 2025
structures: a preorder on graphs, a distributive lattice, and a category (one for undirected graphs and one for directed graphs). The computational complexity...
38 KB (4,860 words) - 20:28, 9 May 2025
Shortest path problem (redirect from Single-source shortest-paths algorithms for directed graphs with nonnegative weights)
path problem can be defined for graphs whether undirected, directed, or mixed. The definition for undirected graphs states that every edge can be traversed...
46 KB (4,790 words) - 20:24, 16 June 2025
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...
33 KB (4,086 words) - 21:34, 28 May 2025
Hamiltonian path (redirect from Directed Hamiltonian circuit)
the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly...
19 KB (2,043 words) - 13:05, 14 May 2025
Adjacency matrix (redirect from Adjacency matrix of a bipartite graph)
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether...
20 KB (2,453 words) - 03:31, 18 May 2025
A citation graph (or citation network), in information science and bibliometrics, is a directed graph that describes the citations within a collection...
15 KB (1,907 words) - 14:58, 22 April 2025
Layered graph drawing or hierarchical graph drawing is a type of graph drawing in which the vertices of a directed graph are drawn in horizontal rows or...
19 KB (2,246 words) - 16:17, 27 May 2025
mathematics, computer science and digital electronics, a dependency graph is a directed graph representing dependencies of several objects towards each other...
8 KB (1,209 words) - 21:22, 23 December 2024