noun · verb · 11 senses · updated from the 2026-07-25 local source snapshot
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
Sound
Pronunciation
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Received-Pronunciation:/ɡɹæf/
Received-Pronunciation:/ɡɹɑːf/
British, Southern, Standard:/ɡɹɑːf/
British, Southern, Standard:/ɡɹaf/
Northern-England, US:/ɡɹæf/
US:Recorded audio is listed in the source snapshot.
rhymes with -ɑːf
rhymes with -æf
CMU ARPABET:G R AE1 F
Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
1
noun
Meaning 1
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.
Definition source: English Wiktionary via Wiktextract
Qualifier: applied mathematics
Topics: mathematics, sciences, statistics
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
2
noun
Meaning 2
A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,...,x_m,y)∈ R m+1, where y=f(x_1,x_2,...,x_m) for a given function f: R m→ R . See also Graph of a function on Wikipedia.Wikipedia
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
1969 [MIT Press], Thomas Walsh, Randell Magee (translators), I. M. Gelfand, E. G. Glagoleva, E. E. Shnol, Functions and Graphs, 2002, Dover, page 19, Let us take any point of the first graph, for example, x=1/2,y=4/5, that is, the point M_1(1/2,4/5).
Meaning relationships
Synonyms: none provided
Antonyms: none provided
3
noun
Meaning 3
A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
Definition source: English Wiktionary via Wiktextract
Topics: graph-theory, mathematics, sciences
Examples
1973, Edward Minieka (translator), Claude Berge, Graphs and Hypergraphs, Elsevier (North-Holland), [1970, Claude Berge, Graphes et Hypergraphes], page vii, Problems involving graphs first appeared in the mathematical folklore as puzzles (e.g. Königsberg bridge problem). Later, graphs appeared in electrical engineering (Kirchhof's Law), chemistry, psychology and economics before becoming a unified field of study.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
4
noun
Meaning 4
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.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, topology
Examples
2008, Unnamed translators (AMS), A. V. Alexeevski, S. M. Natanzon, Hurwitz Numbers for Regular Coverings of Surfaces by Seamed Surfaces and Cardy-Frobenius Algebras of Finite Groups, V. M. Buchstaber, I. M. Krichever (editors), Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar, 2006-2007, American Mathematical Society, page 6, First, let us define its 1-dimensional analog, that is, a topological graph. A graph Δ is a 1-dimensional stratified topological space with finitely many 0-strata (vertices) and finitely many 1-strata (edges). [...] A graph such that any vertex belongs to at least two half-edges we call an s-graph. Clearly the boundary ∂Ω of a surface Ω with marked points is an s-graph. A morphism of graphs φ:Δ'→Δ is a continuous epimorphic map of graphs compatible with the stratification; i.e., the restriction of φ to any open 1-stratum (interior of an edge) of Δ' is a local (therefore, global) homeomorphism with appropriate open 1-stratum of Δ.
Meaning relationships
Synonyms: topological graph
Antonyms: none provided
5
noun
Meaning 5
A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γ_f equals the identity of the domain, and the second projection applied to Γ_f is equal to f.
Definition source: English Wiktionary via Wiktextract
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
6
noun
Meaning 6
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.
Definition source: English Wiktionary via Wiktextract