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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. 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 and ...

  3. Turán's theorem - Wikipedia

    en.wikipedia.org/wiki/Turán's_theorem

    Turán's theorem states that the Turán graph has the largest number of edges among all Kr+1 -free n -vertex graphs. Turán's theorem, and the Turán graphs giving its extreme case, were first described and studied by Hungarian mathematician Pál Turán in 1941. [1] The special case of the theorem for triangle-free graphs is known as Mantel's ...

  4. Automotive navigation system - Wikipedia

    en.wikipedia.org/wiki/Automotive_navigation_system

    An automotive navigation system is part of the automobile controls or a third party add-on used to find direction in an automobile. It typically uses a satellite navigation device to get its position data which is then correlated to a position on a road. When directions are needed routing can be calculated. On the fly traffic information (road ...

  5. Frank Harary - Wikipedia

    en.wikipedia.org/wiki/Frank_Harary

    New Mexico State University. Doctoral advisor. Alfred L. Foster. Frank Harary (March 11, 1921 – January 4, 2005) was an American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. [1] Harary was a master of clear exposition and, together with his many doctoral students, he ...

  6. Strong orientation - Wikipedia

    en.wikipedia.org/wiki/Strong_orientation

    Totally cyclic orientations are dual to acyclic orientations (orientations that turn G into a directed acyclic graph) in the sense that, if G is a planar graph, and orientations of G are transferred to orientations of the planar dual graph of G by turning each edge 90 degrees clockwise, then a totally cyclic orientation of G corresponds in this ...

  7. Pearls in Graph Theory - Wikipedia

    en.wikipedia.org/wiki/Pearls_in_Graph_Theory

    Pearls in Graph Theory: A Comprehensive Introduction is an undergraduate-level textbook on graph theory by Nora Hartsfield and Gerhard Ringel. It was published in 1990 by Academic Press [1] [2] [3] with a revised edition in 1994 [4] and a paperback reprint of the revised edition by Dover Books in 2003. [5] The Basic Library List Committee of ...

  8. Kuratowski's theorem - Wikipedia

    en.wikipedia.org/wiki/Kuratowski's_theorem

    In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that a finite graph is planar if and only if it does not contain a subgraph that is a subdivision of (the complete graph on five vertices) or of (a complete bipartite graph on six vertices, three ...

  9. Dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Dynamic_programming

    Figure 1. Finding the shortest path in a graph using optimal substructure; a straight line indicates a single edge; a wavy line indicates a shortest path between the two vertices it connects (among other paths, not shown, sharing the same two vertices); the bold line is the overall shortest path from start to goal.

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