GRAPH
character, graph, grapheme, graphic symbol
(noun) a written symbol that is used to represent speech; “the Greek alphabet has 24 characters”
chart, graph
(noun) a visual display of information
graph, graphical record, graphical recording
(noun) a visual representation of the relations between certain quantities, represented as points, plotted with reference to a set of axes
graph, chart
(verb) represent by means of a graph; “chart the data”
graph
(verb) plot upon a graph
Source: WordNet® 3.1
Etymology
Noun
graph (plural graphs)
(applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
Hyponyms: bar graph, line graph, pie graph
(mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples , where for a given function .
(graph theory) (formally) An ordered pair of sets , where the elements of are called vertices or nodes and is a set of pairs (called edges) of elements of ; (less formally) a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.
Hyponyms: directed graph, undirected graph, tree
(topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
Synonym: topological graph
A morphism of graphs is a continuous epimorphic map of graphs compatible with the stratification; i.e, the restriction of to any open 1-stratum (interior of an edge) of is a local (therefore, global) homeomorphism with appropriate open 1-stratum of .
(category theory, of a morphism f) A morphism from the domain of to the product of the domain and codomain of , such that the first projection applied to equals the identity of the domain, and the second projection applied to is equal to .
(linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
Synonym: glyph
Usage notes
• In mathematics, the graphical representation of a function sense is generally of interest only at an elementary level.
Nevertheless, the term vertex-edge graph is sometimes used in educational texts to distinguish the graph theory sense.
• (points constituting a graphical representation of a function)
A graph is similar to, but not the same as a (real) function (as defined formally).
The function is a set of ordered pairs , where is a point in and is a point in .
A graph of is a set of points (represented as n-tuples) .
• (graph theory)
A graph may be defined such that the elements of are ordered pairs or unordered pairs.
If the pairs are unordered, may be called an undirected graph and the elements of are called edges.
If the pairs are ordered, is called a directed graph or digraph and the elements of may be called arcs; the notation is sometimes used.
If the two vertices of an edge represent the same point, the edge may be called a loop.
Hyponyms
(Derived terms for types of graph):
• acyclic graph
• biased graph
• biconnected graph
• bipartite graph
• complete graph
• connected graph
• dependency graph
• directed graph
• Eulerian graph
• Hamiltonian graph
• line graph
• multigraph
• nonoriented graph
• object graph
• oriented graph
• Petersen graph
• pseudograph
• random graph
• regular graph
• signed graph
• small world graph
• strongly regular graph
• subgraph
• superregular graph
• undirected graph
• unicursal graph
• voltage graph
• weighted graph
• See also
• See also graph
Verb
graph (third-person singular simple present graphs, present participle graphing, simple past and past participle graphed)
(transitive) To draw a graph.
(transitive, mathematics) To draw a graph of a function.
Synonyms
• (draw a graph of): chart, plot
Anagrams
• phrag
Source: Wiktionary
-graph ( Etym: [From Gr. gra`fein to write. See Graphic.]
Definition: A suffix signifying something written, a writing; also, a
writer; as autograph, crystograph, telegraph, photograph.
Source: Webster’s Unabridged Dictionary 1913 Edition