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    Graph

    Illustration

    Illustration

    Alternate name
    Basic definition

    In graph theory, a graph, also called a network, is a collection of points together with lines that connect some subset of the points.

    Detailed definition

    The word "graph" has (at least) two meanings in mathematics.
In elementary mathematics, "graph" refers to a function graph or "graph of a function, " i.e., a plot.
In a mathematician's terminology, a graph is a collection of points and lines connecting some (possibly empty) subset of them. The points of a graph are most commonly known as graph vertices, but may also be called "nodes" or simply "points." Similarly, the lines connecting the vertices of a graph are most commonly known as graph edges, but may also be called "arcs" or "lines."

    Educational grade level

    college level

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