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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Therefore, the graph of the function f(x − h) = (x − h) 2 is a parabola shifted to the right by h whose vertex is at (h, 0), as shown in the top figure. In contrast, the graph of the function f(x) + k = x 2 + k is a parabola shifted upward by k whose vertex is at (0, k), as shown in the center figure.

  3. Squaregraph - Wikipedia

    en.wikipedia.org/wiki/Squaregraph

    The characterization of squaregraphs in terms of distance from a root and links of vertices can be used together with breadth first search as part of a linear time algorithm for testing whether a given graph is a squaregraph, without any need to use the more complex linear-time algorithms for planarity testing of arbitrary graphs.

  4. File:Dih 4 Cayley Graph; generators a, b; prefix.svg - Wikipedia

    en.wikipedia.org/wiki/File:Cayley_Graph_of...

    The same file with right action (which is more usual for Cayley graphs). One of the Cayley graphs of the dihedral group Dih 4. This version of File:Dih 4 Cayley Graph; generators a, b.svg uses prefix notation, which is unusual for Cayley graphs. In this file an arrow for s goes from g to sg, while in the other file it goes from g to gs.

  5. Graph power - Wikipedia

    en.wikipedia.org/wiki/Graph_power

    K 4 as the half-square of a cube graph. The half-square of a bipartite graph G is the subgraph of G 2 induced by one side of the bipartition of G. Map graphs are the half-squares of planar graphs, [18] and halved cube graphs are the half-squares of hypercube graphs. [19] Leaf powers are the subgraphs of powers of trees induced by the leaves of ...

  6. Quartic graph - Wikipedia

    en.wikipedia.org/wiki/Quartic_graph

    The Meredith graph, a quartic graph with 70 vertices that is 4-connected but has no Hamiltonian cycle, disproving a conjecture of Crispin Nash-Williams. [4] Every medial graph is a quartic plane graph, and every quartic plane graph is the medial graph of a pair of dual plane graphs or multigraphs. [5]

  7. Crossing number (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Crossing_number_(graph_theory)

    A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3.. In graph theory, the crossing number cr(G) of a graph G is the lowest number of edge crossings of a plane drawing of the graph G.

  8. Three-dimensional graph - Wikipedia

    en.wikipedia.org/wiki/Three-dimensional_graph

    The graph of a function of two variables, embedded into a three-dimensional space Topics referred to by the same term This disambiguation page lists mathematics articles associated with the same title.

  9. Circulant graph - Wikipedia

    en.wikipedia.org/wiki/Circulant_graph

    Every cycle graph is a circulant graph, as is every crown graph with number of vertices congruent to 2 modulo 4. The Paley graphs of order n (where n is a prime number congruent to 1 modulo 4) is a graph in which the vertices are the numbers from 0 to n − 1 and two vertices are adjacent if their difference is a quadratic residue modulo n.

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