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  2. Horizontal line test - Wikipedia

    en.wikipedia.org/wiki/Horizontal_line_test

    The function f is injective if and only if each horizontal line intersects the graph at most once. In this case the graph is said to pass the horizontal line test. If any horizontal line intersects the graph more than once, the function fails the horizontal line test and is not injective. [2]

  3. SAT Subject Test in Mathematics Level 2 - Wikipedia

    en.wikipedia.org/wiki/SAT_Subject_Test_in...

    The College Board stated that a calculator "may be useful or necessary" for about 55-60% of the questions on the test. The College Board also encouraged the use of a graphing calculator over a scientific calculator, [7] saying that the test was "developed with the expectation that most students are using graphing calculators."

  4. Planarity testing - Wikipedia

    en.wikipedia.org/wiki/Planarity_testing

    Since such graphs have a unique embedding (up to flipping and the choice of the external face), the next bigger graph, if still planar, must be a refinement of the former graph. This allows to reduce the planarity test to just testing for each step whether the next added edge has both ends in the external face of the current embedding.

  5. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    Shortest path (A, C, E, D, F), blue, between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.

  6. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).

  7. Graph isomorphism problem - Wikipedia

    en.wikipedia.org/wiki/Graph_isomorphism_problem

    At the same time, isomorphism for many special classes of graphs can be solved in polynomial time, and in practice graph isomorphism can often be solved efficiently. [ 3 ] [ 4 ] This problem is a special case of the subgraph isomorphism problem , [ 5 ] which asks whether a given graph G contains a subgraph that is isomorphic to another given ...

  8. Eulerian path - Wikipedia

    en.wikipedia.org/wiki/Eulerian_path

    A connected graph has an Euler cycle if and only if every vertex has an even number of incident edges. The term Eulerian graph has two common meanings in graph theory. One meaning is a graph with an Eulerian circuit, and the other is a graph with every vertex of even degree. These definitions coincide for connected graphs. [2]

  9. Adjacency matrix - Wikipedia

    en.wikipedia.org/wiki/Adjacency_matrix

    For a simple graph with vertex set U = {u 1, …, u n}, the adjacency matrix is a square n × n matrix A such that its element A ij is 1 when there is an edge from vertex u i to vertex u j, and 0 when there is no edge. [1]

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