graph vs knot

graph

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. 

verb
  • To draw a graph of a function. 

  • To draw a graph. 

knot

noun
  • A non-self-intersecting closed curve in (e.g., three-dimensional) space that is an abstraction of a knot (in sense 1 above). 

  • A maze-like pattern. 

  • A looping of a piece of string or of any other long, flexible material that cannot be untangled without passing one or both ends of the material through its loops. 

  • A tangled clump. 

  • Any knob, lump, swelling, or protuberance. 

  • A kind of epaulet; a shoulder knot. 

  • One of a variety of shore birds; red-breasted sandpiper (variously Calidris canutus or Tringa canutus). 

  • A bond of union; a connection; a tie. 

  • A unit of speed, equal to one nautical mile per hour. (From the practice of counting the number of knots in the log-line (as it is paid out) in a standard time. Traditionally spaced at one every ¹⁄₁₂₀ of a mile.) 

  • Local swelling in a tissue area, especially skin, often due to injury. 

  • The bulbus glandis. 

  • The whorl left in lumber by the base of a branch growing out of the tree's trunk. 

  • A difficult situation. 

  • A tightened and contracted part of a muscle that feels like a hard lump under the skin. 

  • A node. 

  • A group of people or things. 

  • A unit of indicated airspeed, calibrated airspeed, or equivalent airspeed, which varies in its relation to the unit of speed so as to compensate for the effects of different ambient atmospheric conditions on aircraft performance. 

  • In omegaverse fiction, a bulbus glandis-like structure on the penis of a male alpha, which ties him to an omega during intercourse. 

  • A nautical mile. 

  • The point on which the action of a story depends; the gist of a matter. 

  • A protuberant joint in a plant. 

  • The swelling of the bulbus glandis in members of the dog family, Canidae. 

verb
  • To form knots. 

  • To form into a knot; to tie with a knot or knots. 

  • To knit knots for a fringe. 

  • To unite closely; to knit together. 

  • To form wrinkles in the forehead, as a sign of concentration, concern, surprise, etc. 

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