Definition:Graph

Disambiguation

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Graph may refer to:

• Graph Theory
  • Graph: a set of vertices and edges

• Category Theory
  • Graph: the same concept as for graph theory but in the context of categories

• Mapping Theory
  • Graph of a Mapping: the relation $\RR = \set {\tuple {x, \map f x}: x \in S}$
  • Graph of a Real Function: the subset of $\R^n \times \R^k$: $\map \Gamma f = \set {\tuple {x, y} \in \R^n \times \R^k: x \in U \subseteq \R^n : \map f x = y}$

• Relation Theory
  • Graph of a Relation: the truth set of a relation $\RR$ on $S \times T$:

$\map \TT \RR = \set {\tuple {s, t}: s \mathrel \RR t}$

• Statistics
  • Graph: a general and loosely-defined word to mean any sort of graphical presentation of a set of data.