graph

Etymology

Definitions

1. 1

   A data chart (graphical representation of data) intended to illustrate the relationship…

   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.

2. 2

   A set of points constituting a graphical representation of a real function

   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

3. 3

   A set of vertices (or nodes) connected together by edges

   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

   • Spectral graph theory has a long history. In the early days, matrix theory and linear algebra were used to analyze adjacency matrices of graphs. Algebraic methods are especially effective in treating graphs which are regular and symmetric.
4. ›+ 5 more definitionsshow fewer

   1. 4

      A topological space which represents some graph (ordered pair of sets) and which is…

      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.

   2. 5

      A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such…

      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.

   3. 6

      A graphical unit on the token-level, the abstracted fundamental shape of a character or…

      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 graph is a token-level nondistinctive representation of a grapheme. It can differ from the other variants of its grapheme with regard to upper case, lower case, script, print, typeface style, typeface size, etc.
   4. 7

      To draw a graph, to record graphically.

   5. 8

      To draw a graph of a function.

The neighborhood

• synonymgraph
• synonymchartdraw a graph of
• synonymplotdraw a graph of
• neighborgrapheme
• neighborgraphic
• neighborgraphical
• neighborgraphism
• neighborAppendix:Glossary of graph theory
• neighbortree
• neighborforest
• neighborclique
• neighborGraph on Wolfram MathWorld