What is the meaning of Graph?

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 ${\displaystyle (x_{1},x_{2},\ldots ,x_{m},y)\in \mathbb {R} ^{m+1}}$, where ${\displaystyle y=f(x_{1},x_{2},\ldots ,x_{m})}$ for a given function ${\displaystyle f:\mathbb {R} ^{m}\rightarrow \mathbb {R} }$. See also Graph of a function on Wikipedia.Wikipedia

A set of vertices (or nodes) connected together by edges; an ordered pair of sets ${\displaystyle (V,E)}$, where the elements of ${\displaystyle V}$ are called vertices or nodes and ${\displaystyle E}$ is a set of pairs (called edges) of elements of ${\displaystyle V}$. See also Graph (discrete mathematics) on Wikipedia.Wikipedia

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 ${\displaystyle \Gamma _{f}}$ from the domain of ${\displaystyle f}$ to the product of the domain and codomain of ${\displaystyle f}$, such that the first projection applied to ${\displaystyle \Gamma _{f}}$ equals the identity of the domain, and the second projection applied to ${\displaystyle \Gamma _{f}}$ is equal to ${\displaystyle f}$.

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.

To draw a graph, to record graphically.

To draw a graph of a function.

Source: wiktionary.org