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  2. Graph drawing - Wikipedia

    en.wikipedia.org/wiki/Graph_drawing

    A drawing of a graph or network diagram is a pictorial representation of the vertices and edges of a graph. This drawing should not be confused with the graph itself: very different layouts can correspond to the same graph. [2] In the abstract, all that matters is which pairs of vertices are connected by edges.

  3. Step function - Wikipedia

    en.wikipedia.org/wiki/Step_function

    In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. An example of step functions (the red graph).

  4. Fáry's theorem - Wikipedia

    en.wikipedia.org/wiki/Fáry's_theorem

    Induction step for proof of Fáry's theorem. One way of proving Fáry's theorem is to use mathematical induction. [1] Let G be a simple plane graph with n vertices; we may add edges if necessary so that G is a maximally plane graph. If n < 3, the result is trivial.

  5. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    Method and apparatus to draw line slices during calculation 5,740,345 Method and apparatus for displaying computer graphics data stored in a compressed format with an efficient color indexing system 5,657,435 Run slice line draw engine with non-linear scaling capabilities 5,627,957 Run slice line draw engine with enhanced processing capabilities

  6. Line graph - Wikipedia

    en.wikipedia.org/wiki/Line_graph

    A line graph has an articulation point if and only if the underlying graph has a bridge for which neither endpoint has degree one. [2] For a graph G with n vertices and m edges, the number of vertices of the line graph L(G) is m, and the number of edges of L(G) is half the sum of the squares of the degrees of the vertices in G, minus m. [6]

  7. Linear function (calculus) - Wikipedia

    en.wikipedia.org/wiki/Linear_function_(calculus)

    A linear function is a polynomial function in which the variable x has degree at most one: [2] = +. Such a function is called linear because its graph, the set of all points (, ()) in the Cartesian plane, is a line. The coefficient a is called the slope of the function and of the line (see below).

  8. Coffman–Graham algorithm - Wikipedia

    en.wikipedia.org/wiki/Coffman–Graham_algorithm

    In the layered graph drawing framework outlined by Sugiyama, Tagawa & Toda (1981) [3] the input is a directed graph, and a drawing of a graph is constructed in several stages: [4] [5] A feedback arc set is chosen, and the edges of this set reversed, in order to convert the input into a directed acyclic graph with (if possible) few reversed edges.

  9. Line chart - Wikipedia

    en.wikipedia.org/wiki/Line_chart

    Line chart showing the population of the town of Pushkin, Saint Petersburg from 1800 to 2010, measured at various intervals. A line chart or line graph, also known as curve chart, [1] is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. [2]