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  2. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...

  3. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    For solving the cubic equation x 3 + m 2 x = n where n > 0, Omar Khayyám constructed the parabola y = x 2 /m, the circle that has as a diameter the line segment [0, n/m 2] on the positive x-axis, and a vertical line through the point where the circle and the parabola intersect above the x-axis.

  4. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function xx 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as

  5. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    4. Halved cube graph, the half-square of a hypercube graph. 5. Partial cube, a distance-preserving subgraph of a hypercube. 6. The cube of a graph G is the graph power G 3. 7. Cubic graph, another name for a 3-regular graph, one in which each vertex has three incident edges. 8.

  6. Regular graph - Wikipedia

    en.wikipedia.org/wiki/Regular_graph

    Regular graphs of degree at most 2 are easy to classify: a 0-regular graph consists of disconnected vertices, a 1-regular graph consists of disconnected edges, and a 2-regular graph consists of a disjoint union of cycles and infinite chains. A 3-regular graph is known as a cubic graph.

  7. Cubic plane curve - Wikipedia

    en.wikipedia.org/wiki/Cubic_plane_curve

    The 2nd equal areas cubic is the locus of X such that the area of the cevian triangle of X Y equals the area of the cevian triangle of X Z. The 2nd equal areas cubic passes through the incenter, centroid, symmedian point, and points in Encyclopedia of Triangle Centers indexed as X(31), X(105), X(238), X(292), X(365), X(672), X(1453), X(1931), X ...

  8. List of graphs - Wikipedia

    en.wikipedia.org/wiki/List_of_graphs

    The web graph W 4,2 is a cube. The web graph W n,r is a graph consisting of r concentric copies of the cycle graph C n, with corresponding vertices connected by "spokes". Thus W n,1 is the same graph as C n, and W n,2 is a prism. A web graph has also been defined as a prism graph Y n+1, 3, with the edges of the outer cycle removed. [7] [10]

  9. Cubic graph - Wikipedia

    en.wikipedia.org/wiki/Cubic_graph

    According to Brooks' theorem every connected cubic graph other than the complete graph K 4 has a vertex coloring with at most three colors. Therefore, every connected cubic graph other than K 4 has an independent set of at least n/3 vertices, where n is the number of vertices in the graph: for instance, the largest color class in a 3-coloring has at least this many vertices.