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Graph with oriented edges
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
Directed_graph
Directed graph with no directed cycles
mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists
Directed_acyclic_graph
Physical simulation to visualize graphs
Force-directed graph drawing algorithms are a class of algorithms for drawing graphs in an aesthetically-pleasing way. Their purpose is to position the
Force-directed_graph_drawing
Abstract data type in computer science
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
Graph_(abstract_data_type)
Trail in which only the first and last vertices are equal
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
Cycle_(graph_theory)
Sequence of edges which join a sequence of vertices on a given graph
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
Path_(graph_theory)
Vertices connected in pairs by edges
this graph is directed, because owing money is not necessarily reciprocated. Graphs are the basic subject studied by graph theory. The word "graph" was
Graph_(discrete_mathematics)
Undirected, connected, and acyclic graph
trees. A directed tree, oriented tree, polytree, or singly connected network is a directed acyclic graph (DAG) whose underlying undirected graph is a tree
Tree_(graph_theory)
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
Glossary_of_graph_theory
Graph representing edges of another graph
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
Line_graph
Area of discrete mathematics
undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the
Graph_theory
Graph with nodes connected in a closed chain
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
Cycle_graph
Topics referred to by the same term
Directed acyclic word graph (DAWG) may refer to two related, but distinct, automata constructions in computer science: Deterministic acyclic finite state
Directed_acyclic_word_graph
Graph divided into two independent sets
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
Bipartite_graph
Trail in a graph that visits each edge once
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
Eulerian_path
File format
which handled only directed acyclic graphs. At its simplest, DOT can be used to describe an undirected graph. An undirected graph shows simple relations
DOT (graph description language)
DOT_(graph_description_language)
Graph where each vertex has the same number of neighbors
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
Regular_graph
Matrix representation 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
Laplacian_matrix
Generalization of graph theory
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
Hypergraph
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
Rooted_graph
Computational problem of graph theory
path problem can be defined for graphs whether undirected, directed, or mixed. The definition for undirected graphs states that every edge can be traversed
Shortest_path_problem
Graph defined from a mathematical group
{\displaystyle G} . The Cayley graph Γ = Γ ( G , S ) {\displaystyle \Gamma =\Gamma (G,S)} is an edge-colored directed graph constructed as follows: Each
Cayley_graph
Database using graph structures for queries
storage mechanism of graph databases can vary. Relationships are first-class citizens in a graph database and can be labeled, directed, and given properties
Graph_database
Graph in which every two vertices are adjacent
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
Complete_graph
Square matrix used to represent a graph or network
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
Adjacency_matrix
Directed graph representing dependencies
mathematics, computer science and digital electronics, a dependency graph is a directed graph representing dependencies of several objects towards each other
Dependency_graph
Path in a graph that visits each vertex exactly once
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
Hamiltonian_path
Node ordering for directed acyclic graphs
ordering is possible if and only if the graph has no directed cycles, that is, if it is a directed acyclic graph (DAG). Any DAG has at least one topological
Topological_sorting
Directed graph where each vertex pair has one arc
In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently
Tournament_(graph_theory)
Basic concept of graph theory
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
Connectivity_(graph_theory)
Length of shortest path between two nodes of a graph
In the case of a directed graph the distance d(u,v) between two vertices u and v is defined as the length of a shortest directed path from u to v consisting
Distance_(graph_theory)
Partition of a graph whose components are reachable from all vertices
In the mathematical theory of directed graphs, a graph is said to be strongly connected if every vertex is reachable from every other vertex. The strongly
Strongly_connected_component
Directed graph describing citations in documents
A citation graph (or citation network), in information science and bibliometrics, is a directed graph that describes the citations within a collection
Citation_graph
Computer science algorithm
computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals
Graph_traversal
Graph representing faces of another graph
mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each
Dual_graph
Graph with same nodes as but complementary connections to another
vertices in V. Then the simple directed graph H = (V, O \ A) is the complement of G. Let G be a simple undirected / directed graph, let K be the complete simple
Complement_graph
A propositional directed acyclic graph (PDAG) is a data structure that is used to represent a Boolean function. A Boolean function can be represented as
Propositional directed acyclic graph
Propositional_directed_acyclic_graph
Graph drawing with vertices in horizontal layers
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
Layered_graph_drawing
Visualization of node-link graphs
Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional
Graph_drawing
Number of edges touching a vertex in a graph
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes
Degree_(graph_theory)
Fundamental unit of which graphs are formed
vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices). In a diagram of a graph, a vertex is usually
Vertex_(graph_theory)
Graphical representation of a computer program or algorithm
flow graph is the directed graph of the basic blocks of the function (the nodes of the graph) and the control flow between them (the edges of the graph).
Control-flow_graph
Diagram of behavior of finite state systems
table. A classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite
State_diagram
Directed graph where every node has exactly one path to it from the root
there is exactly one directed walk from r to v (noting that the root r is unique). An arborescence is thus the directed-graph form of a rooted tree,
Arborescence_(graph_theory)
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Assigning directions to the edges of an undirected graph
graph. A directed graph is called an oriented graph if none of its pairs of vertices is linked by two mutually symmetric edges. Among directed graphs, the
Orientation_(graph_theory)
Structure-preserving correspondence between node-link graphs
structures: a preorder on graphs, a distributive lattice, and a category (one for undirected graphs and one for directed graphs). The computational complexity
Graph_homomorphism
Flow graph invented by Claude Shannon
Samuel Jefferson Mason who coined the term, is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges
Signal-flow_graph
Mapping a graph onto itself without changing edge-vertex connectivity
is, it is a graph isomorphism from G to itself. Automorphisms may be defined in this way both for directed graphs and for undirected graphs. The composition
Graph_automorphism
Type of directed graph
The nearest neighbor graph (NNG) is a directed graph defined for a set of points in a metric space, such as the Euclidean distance in the plane. The NNG
Nearest_neighbor_graph
Directed graph where edges have a capacity
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow
Flow_network
Type of graph
In graph theory, a biconnected graph is a connected and "nonseparable" graph, meaning that if any one vertex were to be removed, the graph will remain
Biconnected_graph
Graph of numbers differing by a square
Paley graphs form an infinite family of conference graphs, which yield an infinite family of symmetric conference matrices. Paley graphs allow graph-theoretic
Paley_graph
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
In graph theory, a quotient graph Q of a graph G is a graph whose vertices are blocks of a partition of the vertices of G and where block B is adjacent
Quotient_graph
precedence graph, also named conflict graph and serializability graph, is used in the context of concurrency control in databases. It is the directed graph representing
Precedence_graph
Copy of a directed graph with redundant edges removed
In the mathematical field of graph theory, a transitive reduction of a directed graph D is another directed graph with the same vertices and as few edges
Transitive_reduction
Form of data structure
A scene graph is a hierarchical data structure commonly used by vector-based graphics editing applications and modern computer games, which cascades the
Scene_graph
Graph with at most one cycle per component
are also used for directed graphs. Like an undirected graph, a directed graph consists of vertices and edges, but each edge is directed from one of its
Pseudoforest
Directed graph whose edges are labelled invertibly by elements of a group
In graph theory, a voltage graph is a directed graph whose edges are labelled invertibly by elements of a group. It is formally identical to a gain graph
Voltage_graph
Graph of triangles with a shared vertex
the mathematical field of graph theory, the friendship graph (or Dutch windmill graph or n-fan) Fn is a planar, undirected graph with 2n + 1 vertices and
Friendship_graph
Reflexive and transitive binary relation
lost the direction markers on the edges of the graph. In general, a preorder's corresponding directed graph may have many disconnected components. A preorder
Preorder
Network representation of the relationships between objects in a program
object graph and it is the more abstract structure that can be used in discussing an application's state. An object graph is a directed graph, which might
Object_graph
Graph of short distances in another graph
In graph theory, a branch of mathematics, the kth power Gk of an undirected graph G is another graph that has the same set of vertices, but in which two
Graph_power
Infinite graph containing all countable graphs
In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with
Rado_graph
Graph whose edges are given independent directions at both ends
edges of kind directed are the same as ordinary directed edges in a directed graph; thus, a directed graph is a special kind of bidirected graph. It is sometimes
Bidirected_graph
Efficient version of non-strict evaluation
In computer science, graph reduction implements an efficient version of non-strict evaluation, an evaluation strategy where the arguments to a function
Graph_reduction
Index of articles associated with the same name
every edge belongs to a cycle Directed acyclic graph, a directed graph with no cycles Strongly connected graph, a directed graph in which every edge belongs
Cyclic_graph
Directed graph with reversed edges
mathematical and algorithmic study of graph theory, the converse, transpose or reverse of a directed graph G is another directed graph on the same set of vertices
Transpose_graph
Graph of connected web pages
directed graph, edges are directed lines or arcs. The webgraph is a directed graph, whose vertices correspond to the pages of the WWW, and a directed edge
Webgraph
Directed graph used for deadlock detection
A wait-for graph in computer science is a directed graph used for deadlock detection in operating systems and relational database systems. In computer
Wait-for_graph
Directed graph representing a Boolean expression
mathematical logic and graph theory, an implication graph is a skew-symmetric, directed graph G = (V, E) composed of vertex set V and directed edge set E. Each
Implication_graph
especially in the fields of universal algebra and graph theory, a graph algebra is a way of giving a directed graph an algebraic structure. It was introduced
Graph_algebra
Python library for graphs and networks
MultiDiGraphs are directed graphs that allow multiple directed edges between the same pair of nodes. Similar to MultiGraphs, MultiDiGraphs enable the
NetworkX
In mathematics, a graph C*-algebra is a universal C*-algebra constructed from a directed graph. Graph C*-algebras are direct generalizations of the Cuntz
Graph_C*-algebra
Type of graph in mathematics
specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying
Polytree
(or points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables
Flow_graph_(mathematics)
Representation of graph notation
A Program Dependence Graph (PDG) is a directed graph of a program's control and data dependencies. Nodes represent program statements and edges represent
Program_dependence_graph
Type of access control
authorization in ReBAC is performed by traversing the directed graph of relationships. The nodes and edges of this graph are very similar to triples in the Resource
Relationship-based access control
Relationship-based_access_control
Directed graph that models causal relationships between variables
statistics, econometrics, epidemiology, genetics and related disciplines, causal graphs (also known as path diagrams, causal Bayesian networks or DAGs) are probabilistic
Causal_graph
Relationship between two sets, defined by a set of ordered pairs
to a vertex; directed edges are drawn such that a directed path from x to y exists if and only if (x,y) ∈ R. Compared to a directed-graph representation
Relation_(mathematics)
mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or directed graphs of certain
Graph_enumeration
Computational complexity of quantum algorithms
types of graphs, called directed graphs, that are associated with this type of computational modelling. In brief, directed graphs are graphs where all
Quantum_complexity_theory
Planar directed acyclic graph
of the graph. That is, it is a directed graph drawn without crossings in the plane, in such a way that there are no directed cycles in the graph, exactly
St-planar_graph
Computational problem
loses because they are unable to continue. To visualize the game, a directed graph can be constructed whose nodes are each cities of the world. An arrow
Generalized_geography
Order-zero graph or any edgeless graph
complement graph K0, a forest, and a planar graph. It may be considered undirected, directed, or even both; when considered as directed, it is a directed acyclic
Null_graph
Graph with multiple edges between two vertices
In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called parallel edges)
Multigraph
Graph algorithm
components algorithm is an algorithm in graph theory for finding the strongly connected components (SCCs) of a directed graph. It runs in linear time, matching
Tarjan's strongly connected components algorithm
Tarjan's_strongly_connected_components_algorithm
Directed path algebra
constructed from a directed graph. Leavitt path algebras generalize Leavitt algebras and may be considered as algebraic analogues of graph C*-algebras. Leavitt
Leavitt_path_algebra
Mathematical proof about the permanent of matrices
{\displaystyle A=(a_{ij})} can be viewed as the adjacency matrix of a directed graph, with a i j {\displaystyle a_{ij}} representing the weight of the edge
♯P-completeness of 01-permanent
♯P-completeness_of_01-permanent
Mathematical model used by graph-oriented databases
associated by directed relationships, and entities and relationships can have properties. In graph theory terms, a property graph is a directed multigraph
Property_graph
Graph linking pairs of comparable elements in a partial order
set, take the directed acyclic graph, apply transitive closure, and remove orientation. Equivalently, a comparability graph is a graph that has a transitive
Comparability_graph
Limited form of tree data structure
also possible to interpret a binary tree as an undirected, rather than directed graph, in which case a binary tree is an ordered, rooted tree. Some authors
Binary_tree
Open problem on 3x+1 and x/2 functions
since 2n is halved n times to reach 1, and it is never increased. Directed graph showing the orbits of the first 1000 numbers. The x axis represents
Collatz_conjecture
Graph with sign-labeled edges
In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if
Signed_graph
Algorithm for finding shortest paths
arbitrary directed graphs with unbounded non-negative weights. However, specialized cases (such as bounded/integer weights, directed acyclic graphs etc.)
Dijkstra's_algorithm
Edge that connects a node to itself
degree. For a directed graph, a loop adds one to the in degree and one to the out degree. Cycle (graph theory) Graph theory Glossary of graph theory Möbius
Loop_(graph_theory)
Topics referred to by the same term
Acyclic graph may refer to: Directed acyclic graph, a directed graph without any directed cycles Forest (graph theory), an undirected acyclic graph Polytree
Acyclic_graph
Matrix that shows the relationship between two classes of objects
incidence matrix of an undirected graph is the incidence matrix, in the sense of directed graphs, of any orientation of the graph. That is, in the column of
Incidence_matrix
Directed Graph Markup Language (DGML) is an XML-based file format for directed graphs. Here is what a simple directed graph with three nodes and two links
DGML
DIRECTED GRAPH
DIRECTED GRAPH
Male
Egyptian
, chief, director.
Boy/Male
Indian, Sanskrit
Settled; Directed
Boy/Male
Hindu
Direct evidence
Boy/Male
Indian
The guide, Director, Leader
Boy/Male
Tamil
One who directs, Guide
Boy/Male
Muslim
The guide, Director, Leader
Girl/Female
Hindu, Indian, Malayalam, Marathi, Telugu
Direct; Lead
Boy/Male
Indian
The guide, Director, Leader
Boy/Male
Tamil
Straight, Erected
Girl/Female
American, British, English, French, Latin
Fields of Cottonwood; Ambitious; Goal Directed
Girl/Female
Tamil
Direct, Lead
Girl/Female
Hindu, Indian, Marathi
Directed; Fixed
Boy/Male
Muslim
The guide, Director, Leader
Boy/Male
Tamil
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Direct evidence
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Boy/Male
Muslim/Islamic
Director guide
Girl/Female
Teutonic American German Latin
Directed.
Girl/Female
Hindu, Indian, Marathi
Directed Towards Heart; Way to the Heart
Boy/Male
Indian
The guide, Director, Leader
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Straight; Erected
Boy/Male
Muslim
The guide, Director, Leader
DIRECTED GRAPH
DIRECTED GRAPH
Boy/Male
Hindu, Indian, Sanskrit
One who Drinks Water; One with Black Teeth; A Tortoise
Girl/Female
Indian, Punjabi, Sikh
Praiseworthy
Girl/Female
Bengali, Gujarati, Hindu, Indian
Anklet
Surname or Lastname
English
English : variant spelling of Bigg.
Male
Hungarian
Hungarian form of Greek Alexandros, SÃNDOR means "defender of mankind."
Boy/Male
Arabic, Hindu, Indian, Muslim
Respectable; Respectful
Girl/Female
Tamil
Beautiful appearance
Girl/Female
Biblical
Golden psalm.
Boy/Male
Muslim/Islamic
Lamp light
Female
German
 Pet form of German Helene, probably HELLA means "torch." Compare with another form of Hella.
DIRECTED GRAPH
DIRECTED GRAPH
DIRECTED GRAPH
DIRECTED GRAPH
DIRECTED GRAPH
a.
Not directed; aimless.
a.
Not directed; not guided; left without direction.
a.
Cut into several parts; divided into sections; as, a dissected map.
v. t.
To point out to with authority; to instruct as a superior; to order; as, he directed them to go.
v. t.
To arrange in a direct or straight line, as against a mark, or towards a goal; to point; to aim; as, to direct an arrow or a piece of ordnance.
imp. & p. p.
of Direct
adv.
In a straightforward way; without anything intervening; not by secondary, but by direct, means.
adv.
In a direct manner; in a straight line or course.
a.
Cut deeply into many lobes or divisions; as, a dissected leaf.
a.
In the line of descent; not collateral; as, a descendant in the direct line.
n.
One who, or that which, directs; one who regulates, guides, or orders; a manager or superintendent.
n.
A part of a machine or instrument which directs its motion or action.
v. t.
To put a direction or address upon; to mark with the name and residence of the person to whom anything is sent; to superscribe; as, to direct a letter.
v. t.
To point out or show to (any one), as the direct or right course or way; to guide, as by pointing out the way; as, he directed me to the left-hand road.
a.
Cast down; afflicted; low-spirited; sad; as, a dejected look or countenance.
n.
One who directs; a director.
a.
Directed; prescribed.
a.
Acting directly, as one part upon another, without the intervention of other working parts.
a.
Straight; not crooked, oblique, or circuitous; leading by the short or shortest way to a point or end; as, a direct line; direct means.
a.
Directed in a line toward the object aimed at; aimed directly toward the mark.