graph

Meanings

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.
• A set of points constituting a graphical representation of a real function; a set of tuples $(x\_1,\; x\_2,\; \backslash ldots,\; x\_m,\; y)\backslash in\backslash R^\{m+1\}$, where $y=f(x\_1,\; x\_2,\; \backslash ldots,\; x\_m)$ for a given function $f:\; \backslash R^m\backslash rightarrow\backslash R$. See also
• A set of vertices (or nodes) connected together by edges; 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
• 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.
• A morphism $\backslash Gamma\_f$ from the domain of $f$ to the product of the domain and codomain of $f$, such that the first projection applied to $\backslash Gamma\_f$ equals the identity of the domain, and the second projection applied to $\backslash Gamma\_f$ 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.

Verb

• To draw a graph.
• To draw a graph of a function.

Related

Similar words

• chart, plot

Narrower meaning words

• See also

Origin

• Shortening of graphic formula. From 1878; verb from 1889.