# graph

## English

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Wikipedia

a demographic graph.

### Etymology

Shortening of graphic formula.

### Noun

graph (plural graphs)

1. A diagram displaying data; in particular one showing the relationship between two or more quantities, measurements or indicative numbers that may or may not have a specific mathematical formula relating them to each other.
• 2012 March 1, Brian Hayes, “Pixels or Perish”, American Scientist, volume 100, number 2, page 106:
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 presenting evidence, for explaining a theory, for telling a story.
2. (mathematics) A diagram displaying data, in particular one showing the relationship between two or more variables; specifically, for a function $f(x_1, x_2, \ldots, x_n)$, the set of all tuples $(x_1, x_2, \ldots, x_n, f(x_1, x_2, \ldots, x_n))$.
3. (graph theory) An ordered pair $(V,E)$, where $V$ is a set of elements called vertices (or nodes) and $E$ is a set of pairs of elements of $V$, called edges; informally, a set of vertices together with a set edges that join these vertices.

#### Hyponyms

• (in graph theory): tree

#### Translations

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### Verb

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

1. (transitive) To draw a graph.
2. () To draw a graph of a function.