graph

UK/ɡɹæf/

More pronunciations (1)Fewer pronunciations

British/ɡɹɑːf/

graph noun: 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.

Image: Diego Grez, Public domain, via Wikimedia Commons

Noun

graph (plural graphs)

(applied mathematics) 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.
- Drawings and pictures are more than mere ornaments in scientific discourse. Blackboard sketches, geological maps, diagrams of molecular structure, astronomical photographs, MRI images, the many varieties of statistical charts and graphs: These pictorial devices are indispensable tools for...2012 March, Brian Hayes, “Pixels or Perish”, in American Scientist, volume 100, number 2, archived from the original on 19 Feb 2013, page 106
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
- 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).
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
- 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.1973, Edward Minieka (translator), Claude Berge, Graphs and Hypergraphs, Elsevier (North-Holland), [1970, Claude Berge, Graphes et Hypergraphes], page vii
- Spectral graph theory has a long history. In the early days, matrix theory and linear algebra were used to analyze adjacency matrices of graphs. Algebraic methods are especially effective in treating graphs which are regular and symmetric.1997, Fan R. K. Chung, Spectral Graph Theory, American Mathematical Society, page 1
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.
- 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....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....
Synonyms:

topological graph
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.
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.
- A graph is a token-level nondistinctive representation of a grapheme. It can differ from the other variants of its grapheme with regard to upper case, lower case, script, print, typeface style, typeface size, etc.2003, J. Richard Andrews, Introduction to Classical Nahuatl, Revised Edition, University of Oklahoma Press, page 10
Synonyms:

glyph

Verb

graph (third-person singular simple present graphs, present participle graphing, simple past and past participle graphed)

(transitive) To draw a graph, to record graphically.
- When the doctor took the picture that was to be graphed onto Johnny’s balloon head, he suggested that Johnny make a normal face, without expressing any emotion. But Johnny didn’t like that idea. He’d rather look eternally cheerful than express nothing but apathy for the rest of his life.2011, Carlton Mellick III, Crab Town, Portland: Eraserhead Press, →ISBN, page 8
(transitive) To draw a graph of a function.

graph meaning in Hindi, Tamil, Urdu and Bengali

graph in Hindi

graph of a function: लेखाचित्र lekhācitra, ग्राफ़ grāf
set of vertices connected by edges: लेखाचित्र lekhācitra

graph in Tamil

இரு பொருள்களுக்குள்ள விகிதப்படம், கட்ட வரைபடம், கட்ட வரைபடம் வரைக, வரைக்கட்டம், வரைபடம், வரைப்படம்

graph in Urdu

graph of a function: گراف grāf

graph in Bengali

graph of a function: গ্রাফ graph

More languagesFewer languages

graph in Telugu: గ్రాఫ్
graph in Malayalam: ഗ്രാഫ് grāphŭ
graph in Kannada: ಮಾರ‍್ಪಾಡು ತಿಟ್ಟ, ರೇಖಾಚಿತ್ರ, ಬಿಂದುರೇಖೆ, ದಶಾಂಶ ಸೂಚಕ ರೇಖೆ
graph in Punjabi: ਗਰਾਫ਼, ਗ੍ਰਾਫ, ਗ੍ਰਾਫ਼
graph in Gujarati: આલેખ, ગ્રાફ
graph in Odia: ଗ୍ରାଫ୍, ଗ୍ରାଫ
graph in Nepali: ग्राफ
graph in Tagalog: talangguhit
graph in Arabic: مُخَطَّط بَيَانِيّ muḵaṭṭaṭ bayāniyy
graph in Malay: graf
graph in Indonesian: grafik
graph in Persian: نمودار nemudâr, گراف gerâf
graph in Thai: กราฟ gráaf
graph in Vietnamese: biểu đồ
graph in Myanmar: ဂရပ် ga.rap

Examples of graph in a sentence

The graph is on page 30, but I opened the textbook at page 32.
The problem of finding the largest clique in an arbitrary graph is NP-complete.
A complete graph with more than four nodes is never planar.

All 40 example sentences with graph

Synonyms of graph

topological graph
glyph
chart
plot

Forms of graph

Noun
plural	graphs
Verb
third-person singular present	graphs
present participle	graphing
past participle	graphed
past	graphed

Plural of graph: graphs

Origin of graph

Clipping of graphic formula. From 1878; verb from 1889.

Words formed from graph

Phrases with graph

46 more phrasesFewer phrases

Words that rhyme with graph

Questions about graph

What does graph mean?: Graph means 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.
What is graph in Hindi?: Graph in Hindi is लेखाचित्र (lekhācitra), ग्राफ़ (grāf). See Graph meaning in Hindi.
What part of speech is graph?: Graph can be a noun or a verb.
How do you pronounce graph?: Graph is pronounced /ɡɹæf/ (UK).
What is the plural of graph?: The plural of graph is graphs.

Words near graph in the dictionary

Adapted from Wiktionary: graph (page history and authors); graph (Tamil Wiktionary) (page history and authors); graph (Telugu, IndicTrans2 machine translation) (model and license); ഗ്രാഫ് (Malayalam) (page history and authors); graph (Kannada Wiktionary) (page history and authors); graph (Punjabi, IndicTrans2 machine translation) (model and license); graph (Gujarati, IndicTrans2 machine translation) (model and license); graph (Odia, IndicTrans2 machine translation) (model and license); graph (Nepali, IndicTrans2 machine translation) (model and license). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated: 2026-09-02

Pronunciation audio from Wikimedia Commons, each file under its own free license: en-us-graph.ogg.

Cite this entry: “graph.” Word.ws, https://word.ws/graph. Based on Wiktionary, CC BY-SA 4.0.