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  2. 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, a road network. It was conceived by computer scientist Edsger W. Dijkstra in 1956 and published three years later.

  3. Shunting yard algorithm - Wikipedia

    en.wikipedia.org/wiki/Shunting_yard_algorithm

    To convert, the program reads each symbol in order and does something based on that symbol. The result for the above examples would be (in reverse Polish notation) "3 4 +" and "3 4 2 1 − × +", respectively. The shunting yard algorithm will correctly parse all valid infix expressions, but does not reject all invalid expressions.

  4. Pathfinding - Wikipedia

    en.wikipedia.org/wiki/Pathfinding

    StraightEdge Open Source Java 2D path finding (using A*) and lighting project. Includes applet demos. python-pathfinding Open Source Python 2D path finding (using Dijkstra's Algorithm) and lighting project. Daedalus Lib Open Source. Daedalus Lib manages fully dynamic triangulated 2D environment modeling and pathfinding through A* and funnel ...

  5. Shortest-path tree - Wikipedia

    en.wikipedia.org/wiki/Shortest-path_tree

    In connected graphs where shortest paths are well-defined (i.e. where there are no negative-length cycles), we may construct a shortest-path tree using the following algorithm: Compute dist(u), the shortest-path distance from root v to vertex u in G using Dijkstra's algorithm or Bellman–Ford algorithm.

  6. Longest path problem - Wikipedia

    en.wikipedia.org/wiki/Longest_path_problem

    A linear-time algorithm for finding a longest path in a tree was proposed by Edsger Dijkstra around 1960, while a formal proof of this algorithm was published in 2002. [15] Furthermore, a longest path can be computed in polynomial time on weighted trees, on block graphs, on cacti, [16] on bipartite permutation graphs, [17] and on Ptolemaic ...

  7. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    So, they find the probability distribution of total travel duration using different optimization methods such as dynamic programming and Dijkstra's algorithm. [28] These methods use stochastic optimization, specifically stochastic dynamic programming to find the shortest path in networks with probabilistic arc length. [29]

  8. Dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Dynamic_programming

    From a dynamic programming point of view, Dijkstra's algorithm for the shortest path problem is a successive approximation scheme that solves the dynamic programming functional equation for the shortest path problem by the Reaching method. [8] [9] [10] In fact, Dijkstra's explanation of the logic behind the algorithm, [11] namely Problem 2.

  9. Dijkstra–Scholten algorithm - Wikipedia

    en.wikipedia.org/wiki/Dijkstra–Scholten_algorithm

    The Dijkstra–Scholten algorithm (named after Edsger W. Dijkstra and Carel S. Scholten) is an algorithm for detecting termination in a distributed system. [1] [2] The algorithm was proposed by Dijkstra and Scholten in 1980. [3] First, consider the case of a simple process graph which is a tree. A distributed computation which is tree ...