# Diagraph vs. Graph

## Difference Between Diagraph and Graph

#### Diagraphnoun

(dated) A drawing instrument that combines a protractor and scale.

#### Graphnoun

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.

#### Graphnoun

(mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples $\left(x_1, x_2, \ldots, x_m, y\right)\in\R^\left\{m+1\right\}$, where $y=f\left(x_1, x_2, \ldots, x_m\right)$ for a given function $f: \R^m\rightarrow\R$.

#### Graphnoun

(graph theory) (formally) An ordered pair of sets $\left(V,E\right)$, where the elements of $V$ are called vertices or nodes and $E$ is a set of pairs (called edges) of elements of $V$; (less formally) a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.

#### Graphnoun

(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.

#### Graphnoun

A morphism $\Gamma_f$ from the domain of $f$ to the product of the domain and codomain of $f$, such that the first projection applied to $\Gamma_f$ equals the identity of the domain, and the second projection applied to $\Gamma_f$ is equal to $f$.

#### Graphnoun

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.

#### Graphverb

(transitive) To draw a graph.

#### Graphverb

To draw a graph of a function.

#### Graphnoun

a drawing illustrating the relations between certain quantities plotted with reference to a set of axes

#### Graphverb

represent by means of a graph;

chart the data

#### Graphverb

plot upon a graph