simple graph consists of two sets: A set V of points called vertices or nodes. A set of pairs of vertices called edges or arcs that show which nodes are related. In a more informal way we can say that a graph is a set of nodes with links between them called edges or arcs. In a simple graph there's only one arc between two nodes. If there's more than one arc we call it a multigraph. If arcs can be followed in only one specific direction but not in the other we call it a directed graph or digraph and arcs become edges. If arcs begin and end in the same node making a loop, the resulting graph is called a pseudograph. Despite a graph seeming a very elementary structure, there are many features of graphs whose study has lead to a complete mathematical theory. (For more information you can take a look at the graph glossary by Chris Caldwell or the introduction to graph theory of the wikipedia). There are many ways to represent a graph. There are even complete congresses devoted to discussing how to do it; for example the International Symposium on Graph Drawing
Informally, a graph is a finite set of dots called vertices (or nodes) connected by links called edges (or arcs). More formally: a simple graph is a (usually finite) set of vertices V and set of unordered pairs of distinct elements of V called edges. Not all graphs are simple. Sometimes a pair of vertices are connected by multiple edge yielding a multigraph. At times vertices are even connected to themselves by a edge called a loop, yielding a pseudograph. Finally, edges can also be given a direction yielding a directed graph (or digraph).
A grid of lines, with the vertical lines representing one set of information and the horizontal lines representing another. A "Curve" superimposed on a graph grid gives information about test results.
A geometric diagram consisting of a finite number of dots called vertices joined by a finite number of curved or straight line segments called edges.
Mathematical object defined as consisting of two sets, a node set and an edge set. See Also Node, Edge.
A graph is basically a collection of dots, with some pairs of dots being connected by lines. The dots are called vertices, and the lines are called edges. More formally, a graph is two sets. The first set is the set of vertices. The second set is the set of edges. The vertex set is just a collection of the labels for the vertices, a way to tell one vertex from another. The edge set is made up of unordered pairs of vertex labels from the vertex set. Here is a diagram of a graph, and the sets that the graph is made from: V={A,B,C,D}--The vertex set. E={(A,B) , (A,C) , (B,C) , (B,D)}--The edge set. A graph diagram. The sets that make up a graph.
Informally, a graph consists of a finite set of vertices and edges which connect them. Graphs are usually depicted pictorially as a set of points representing the vertices with lines (usually straight, but not necessarily so) connecting them to represent the edges. Types of graphs are: simple, directed or digraphs, multigraphs or planar. A Graph
A graph is a set of points (called vertices) and a set of lines (called edges) joinging these vertices.
a block diagram which shows how to connect the audio and video codecs to the DVB card
a bunch of vertices and edges (also known as nodes and arcs)
a cactus if every edge is part of at most one cycle
a collection of interconnected peer nodes
a collection of labelled, unstructured objects called vertices (you may want to think of them as points) some pairs of which are connected by edges
a collection of nodes (also called vertices ) and edges each connecting a pair of nodes
a collection of nodes and edges connecting between nodes
a collection of nodes, pairs of which are connected by edges (see Section XXX)
a collection of nodes , where nodes may have links to other nodes
a collection of points along with some edges joining pairs of points
a collection of points and edges between some of those points
a collection of points, which are called "nodes" or "vertices," connected by lines, which are called "edges
a collection of vertices and edges (in the field of mathematics) or nodes and links (in the field of transportation planning)
a collection of vertices, edges, and labels which form binary relationships
a data structure composed by a set of nodes, connected by arcs
a data structure consisting of a set of vertices and a set of edges connecting these vertices
a data structure consisting of things (nodes) with interconnections (arcs)
a data structure that is described by nodes (entities) and edges (relationships between nodes)
a figure consisting of points (called vertices --the plural of vertex ) and connecting lines or curves (called edges )
a finite, nonempty set V of elements called vertices, together with a set E of two element subsets of V called edges
a finite set of points called nodes or vertices connected by links called edges
a finite set of points, called vertices, together with a finite set of curved or straight connecting lines called edges, each of which joins a pair of vertices
a finite set of vertices such that each pair of distinct vertices has either zero or one edges joining the vertices
a flattened list of node addresses/labels, with a list of edges for each node, each with one or more metrics
a forest if and only if for every pair of distinct vertices u , v , there is at most one u , v -path
a generalization of the tree structure, where instead of a strict parent/child relationship between tree nodes, any kind of complex relationships between the nodes can be represented
a geometrical tool which involves a collection of points called vertices joined by line segments called edges
a geometric diagram consisting of a finite collection of dots called vertices and a finite collection of line segments (which can be straight or curved) joining these dots called edges
a mathematical abstraction that is useful for solving many kinds of problems
a mathematical abstraction that we can use to represent problems in Computer Science
a mathematical modeling structure made up of nodes (dots) and edges (lines)
a mathematical picture of the motion of an object
a mathematical structure made up of dots (called vertices) and lines joining pairs of dots (called edges)
a mathematical structure that is widely used to describe the relationships between different objects
an abstraction or data structure consisting of vertices and connecting edges
an abstract mathematical object consisting of vertices and edges
an example of a mathematical object
an object that contains nodes and edges
a pair of sets, the vertices and the edges
a pair of sets (V, E) where V is the vertex-set and E the edge-set is a family of pairs (possibly directed) of V
a pair (V, E) where V is the set of nodes ("vertices") and E is a collection of pairs of vertices ("edges")
a picture of the set of solutions of a given equation
a picture that shows how a set of numbers are related
a picture that tells you how many objects are in a group
a relational structure made up of vertices and edges
a series of vertices connected by segments called edges
a series-parallel if it can be created from single two-terminal labelled edges by series and/or parallel compositions
a set of connected "nodes", each of which must be "executed" on a periodic basis
a set of nodes and a set of links among them
a set of nodes and edges where the nodes are objects and the edges the connections between those objects
a set of nodes (departments) joined by arcs connecting adjacent nodes
a set of objects, called nodes, connected by arcs
a set of objects (vertices) and a set of connections (edges) between pairs of objects
a set of points (called 'vertices' or 'nodes') connected by lines (called 'edges')
a set of so-called vertices , and a set of unordered pairs of vertices, the so-called edges
a set of vertices and a set of edges where each edge connects two distinct vertices
a set of vertices and the (directed) links between them
a set of vertices, or nodes, V, and a set of lines, or arcs, A
a set of vertices some pairs of which are joined by an edge and others are not
a simply a set of vertices together with a set of edges, each of which joins two pairs of vertices
a structure of one or more points connected by lines
a structure (V,E), where V is a finite set called the vertex set and E the set of edges
a structure with a number of objects ( nodes ) and relationships between them ( edges )
a structure with vertices and edges (ie points with connections)
a system of logical connections between a collection of objects called vertices
a tree if and only if it is minimally connected
a tree if and only if there is one and only one path joining any
a tree of paths (cycles), if its vertex set can be partitioned into clusters, such that each cluster induces a simple path (cycle), and the clusters form a tree
a triple consisting of a vertex (node) set V, an edge set E, and a relation that associates with each edge to vertices called its endpoints
a very simple structure consisting of a set of vertices and a family of lines (possibly oriented), called edges (undirected) or arcs (directed), each of them linking some pair of vertices
a way of representing connections between places
a (non-)oriented graph is composed of two sets: a set of vertices, and a set of (non-)oriented edges, where each edge is a (un-)ordered pair of vertices, called "source" and "destination" in the oriented case; an hypergraph may have edges with any number of vertices; a dataflow graph is an oriented hypergraph where each vertex is an operation, and where each edge is a data-dependence with a single source and one or several destinations
A construct that consists of many nodes connected with edges. The edges usually represents a relationship between the objects represented by the nodes. For example, if the nodes are cities, then the edges may have numerical values that correspond to the distances between the cities. A graph can be equivalently represented as a MATRIX.
The graph of a function is the set of all points whose coordinates are corresponded by the function; i.e. the graph of the function () is the set of all points of the form (, (), where is an element of the domain of .
According to the graph theory of mathematics and computer science, a graph is a set objects (aka vertices, nodes, dots, etc.) connected by links (aka edges, arcs, lines, etc.). Vertices may or may not be weighted. Edges may or may not be weighted. Edges may or may not be directional. See also chart.
(IEEE) A diagram or other representation consisting of a finite set of nodes and internode connections called edges or arcs. Contrast with blueprint. See: block diagram, box diagram, bubble chart, call graph, cause-effect graph, control flow diagram, data flow diagram, directed graph, flowchart, input-process-output chart, structure chart, transaction flowgraph.
A composition of nodes, the graph is a DAG.
a set of topologically interrelated zero-dimensional (node), one-dimensional (link or chain), and sometimes two-dimensional (GT-polygon) objects that conform to a set of defined constraint rules. Numerous rule sets can be used to distinguish different types of graphs. Three such types, planar graph, network, and two-dimensional manifold, are used in this standard. All three share the following rules: each link or chain is bounded by an ordered pair of nodes, not necessarily distinct; a node may bound one or more links or chains; and links or chains may only intersect at nodes. Planar graphs and networks are two specialized types of graphs, and a two-dimensional manifold is an even more specific type of planar graph.
(n.): A mathematical structure consisting of a (usually finite) set of ``vertices'' together with a set of ``edges'' which are pairs of vertices (usually regarded as ``connections'' between pairs of vertices). Unless otherwise specified, we do not allow loops (edges connecting a vertex to itself), nor multiple edges joining the same two vertices.
(n.) an entity consisting of a set of vertices and a set of edges between pairs of vertices.
A set of points (vertices) and the connections (edges) between them.
A graph is a basic mathematic concept meaning a collection of points with lines between them. Graphs can have diverse meanings, but a common use of them is to represent points in space and the connections between them.
n. In programming, a data structure consisting of zero or more nodes and zero or more edges, which connect pairs of nodes. If any two nodes in a graph can be connected by a path along edges, the graph is said to be connected. A subgraph is a subset of the nodes and edges within a graph. A graph is directed (a digraph) if each edge links two nodes together only in one direction. A graph is weighted if each edge has some value associated with it. See also node (definition 3), tree.
A model of entities (nodes) connected to relationships (arcs).
In mathematics, a set of points called nodes (or vertices) and a set of lines connecting them or some subset of them to one another called edges.
In mathematics and computer science, a graph is the basic object of study in graph theory. Informally speaking, a graph is a set of objects called points, nodes, or vertices connected by links called lines or edges. In a proper graph, which is by default undirected, a line from point A to point B is considered to be the same thing as a line from point B to point A.
In computer science, a graph is a kind of data structure, specifically an abstract data type (ADT), that consists of a set of nodes and a set of edges that establish relationships (connections) between the nodes. The graph ADT follows directly from the graph concept from mathematics.