A Quick and Simple Dictionary

graph

1. Noun.  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.
2. Noun.  (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. Noun.  (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.
4. Verb.  (transitive) To draw a graph.
5. Verb.  (transitive, mathematics) To draw a graph of a function.