# graph

> English word · Noun · IPA /ɡɹɑːf/ · frequency rank #6,577

## Definitions
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.
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
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
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.
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.
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.

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

## Easily confused with
- **gray** (https://plainspell.com/en/vs/graph-vs-gray)
- **grip** (https://plainspell.com/en/vs/graph-vs-grip)
- **Gras** (https://plainspell.com/en/vs/graph-vs-gras)
- **grass** (https://plainspell.com/en/vs/graph-vs-grass)
- **grave** (https://plainspell.com/en/vs/graph-vs-grave)
- **grasp** (https://plainspell.com/en/vs/graph-vs-grasp)
- **gravy** (https://plainspell.com/en/vs/graph-vs-gravy)
- **grips** (https://plainspell.com/en/vs/graph-vs-grips)
- **grate** (https://plainspell.com/en/vs/graph-vs-grate)
- **graze** (https://plainspell.com/en/vs/graph-vs-graze)
- **grays** (https://plainspell.com/en/vs/graph-vs-grays)
- **gripe** (https://plainspell.com/en/vs/graph-vs-gripe)
- **grope** (https://plainspell.com/en/vs/graph-vs-grope)
- **graphic** (https://plainspell.com/en/vs/graph-vs-graphic)
- **gap** (https://plainspell.com/en/vs/gap-vs-graph)
- **gah** (https://plainspell.com/en/vs/gah-vs-graph)
- **grab** (https://plainspell.com/en/vs/grab-vs-graph)
- **gaps** (https://plainspell.com/en/vs/gaps-vs-graph)
- **gram** (https://plainspell.com/en/vs/gram-vs-graph)
- **grad** (https://plainspell.com/en/vs/grad-vs-graph)

## Common misspellings (8)
`garph`, `ggraph`, `grahp`, `graphh`, `grapph`, `grpah`, `grraph`, `rgaph`

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/graph