graph vs representation

graph

noun
  • 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. 

  • 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 set of vertices (or nodes) connected together by edges; (formally) 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 Graph (discrete mathematics) on Wikipedia.Wikipedia 

  • 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; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia 

  • A morphism 𝛤_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to 𝛤_f equals the identity of the domain, and the second projection applied to 𝛤_f is equal to f. 

verb
  • To draw a graph of a function. 

  • To draw a graph. 

representation

noun
  • An object that describes an abstract group in terms of linear transformations of vector spaces; (more formally) a homomorphism from a group on a vector space to the general linear group (group of all bijective linear transformations) on the space. 

  • The act of representing. 

  • A statement; a presentation of opinion or position, or an utterance made to influence the opinions or actions of others 

  • The lawyers and staff who argue on behalf of another in court. 

  • A figure, image or idea that substitutes reality. 

  • That which represents something else. 

  • The ability to elect a representative to speak on one's behalf in government; the role of this representative in government. 

  • A theatrical performance. 

  • An act of representing, i.e. presenting again. 

How often have the words graph and representation occurred in a corpus of books? (source: Google Ngram Viewer )