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  2. Automotive navigation system - Wikipedia

    en.wikipedia.org/wiki/Automotive_navigation_system

    Mathematically, automotive navigation is based on the shortest path problem, within graph theory, which examines how to identify the path that best meets some criteria (shortest, cheapest, fastest, etc.) between two points in a large network. Automotive navigation systems are crucial for the development of self-driving cars.

  3. Dijkstra's algorithm - Wikipedia

    en.wikipedia.org/wiki/Dijkstra's_algorithm

    Dijkstra's algorithm (/ ˈ d aɪ k s t r ə z / DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, road networks.

  4. 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 ...

  5. Shortest path faster algorithm - Wikipedia

    en.wikipedia.org/wiki/Shortest_Path_Faster_Algorithm

    The Shortest Path Faster Algorithm (SPFA) is an improved version of the Bellman–Ford algorithm that computes single-source shortest paths in a weighted directed graph. The algorithm works well on sparse random graphs, especially those that contain negative-weight edges. [1] [2] [3] The worst-case complexity of SPFA is the same as that of ...

  6. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    Shortest path (A, C, E, D, F) 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. The problem of finding the shortest path between two intersections ...

  7. Land's End to John o' Groats - Wikipedia

    en.wikipedia.org/wiki/Land's_End_to_John_o'_Groats

    John o' Groats. Land's End to John o' Groats is the traversal of the length of the island of Great Britain between two extremities, in the southwest and northeast. The traditional distance by road is 874 miles (1,407 km) and takes most cyclists 10 to 14 days; the record for running the route is nine days. Off-road walkers typically walk about ...

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