Definition 2023



See also: graph and -graph


Alternative forms

  • Graf (since the spelling reform of 1996)


Graph m (genitive Graphen or Graphs, plural Graphen)

  1. (mathematics) graph

Usage notes

The word may declined according to the weak or the strong pattern. The former is more originally standard, but the latter is also found in non-standard usage.


Weak declension
Strong declension


Graph n (genitive Graphs, plural Graphe)

  1. a symbol as the smallest unit in a text which has not yet been classified as a grapheme



See also: Graph and -graph


a demographic graph.


graph (plural graphs)

  1. 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.
    • 2012 March 1, Brian Hayes, “Pixels or Perish”, in American Scientist, volume 100, number 2, page 106:
      Drawings and pictures are more than mere ornaments in scientific discourse. Blackboard sketches, geological maps, diagrams of molecular structure, astronomical photographs, MRI images, the many varieties of statistical charts and graphs: These pictorial devices are indispensable tools for presenting evidence, for explaining a theory, for telling a story.
  2. (mathematics) A diagram displaying data, in particular one showing the relationship between two or more variables; specifically, for a function , the set of all tuples .
  3. (graph theory) An ordered pair , where is a set of elements called vertices (or nodes) and is a set of pairs of elements of , called edges; informally, a set of vertices together with a set edges that join these vertices.
  4. (typography) A character, in particular the abstracted fundamental shape of a character as distinct from its ductus (realization in a particular typeface or handwriting: compare glyph).
  5. (category theory) Said to be of a morphism f: a morphism from the domain of f to the product of the domain and codomain of f, such that the first projection applied to equals the identity of the domain, and the second projection applied to is equal to f.



  • (in graph theory): tree

Derived terms

Related terms



graph (third-person singular simple present graphs, present participle graphing, simple past and past participle graphed)

  1. (transitive) To draw a graph.
  2. (transitive, mathematics) To draw a graph of a function.



See also