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  2. Turn-by-turn navigation - Wikipedia

    en.wikipedia.org/wiki/Turn-by-turn_navigation

    Turn-by-turn navigation is a feature of some satellite navigation devices where directions for a selected route are continually presented to the user in the form of spoken or visual instructions. [1] The system keeps the user up-to-date about the best route to the destination, and is often updated according to changing factors such as traffic ...

  3. Pursuit–evasion - Wikipedia

    en.wikipedia.org/wiki/Pursuit–evasion

    Pursuit–evasion. Pursuit–evasion (variants of which are referred to as cops and robbers and graph searching) is a family of problems in mathematics and computer science in which one group attempts to track down members of another group in an environment. Early work on problems of this type modeled the environment geometrically. [1]

  4. Turán's theorem - Wikipedia

    en.wikipedia.org/wiki/Turán's_theorem

    In graph theory, Turán's theorem bounds the number of edges that can be included in an undirected graph that does not have a complete subgraph of a given size. It is one of the central results of extremal graph theory, an area studying the largest or smallest graphs with given properties, and is a special case of the forbidden subgraph problem on the maximum number of edges in a graph that ...

  5. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    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. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs ...

  6. Line graph - Wikipedia

    en.wikipedia.org/wiki/Line_graph

    Line graph. In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L (G) that represents the adjacencies between edges of G. L (G) is constructed in the following way: for each edge in G, make a vertex in L (G); for every two edges in G that have a vertex in common, make an edge between their ...

  7. Graph isomorphism - Wikipedia

    en.wikipedia.org/wiki/Graph_isomorphism

    Graph isomorphism. In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H. such that any two vertices u and v of G are adjacent in G if and only if and are adjacent in H. This kind of bijection is commonly described as "edge-preserving bijection", in accordance with the general notion of isomorphism ...

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