border vs graph

border

verb
  • To put a border on something. 

  • To approach; to come near to; to verge (with on or upon). 

  • To form a border around; to bound. 

  • To touch at a border (with on, upon, or with). 

  • To lie on, or adjacent to, a border of. 

noun
  • A string that is both a prefix and a suffix of another particular string. 

  • The outer edge of something. 

  • A strip of ground in which ornamental plants are grown. 

  • border morris or border dancing; a vigorous style of traditional English dance originating from villages along the border between England and Wales, performed by a team of dancers usually with their faces disguised with black makeup. 

  • The line or frontier area separating political or geographical regions. 

  • A decorative strip around the edge of something. 

graph

verb
  • To draw a graph. 

  • To draw a graph of a function. 

noun
  • 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 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 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. 

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