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  2. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    The single-source shortest path problem, in which we have to find shortest paths from a source vertex v to all other vertices in the graph. The single-destination shortest path problem, in which we have to find shortest paths from all vertices in the directed graph to a single destination vertex v. This can be reduced to the single-source ...

  3. 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 ...

  4. Dijkstra's algorithm - Wikipedia

    en.wikipedia.org/wiki/Dijkstra's_algorithm

    Dijkstra's algorithm finds the shortest path from a given source node to every other node. [7]: 196–206 It can be used to find the shortest path to a specific destination node, by terminating the algorithm after determining the shortest path to the destination node. For example, if the nodes of the graph represent cities, and the costs of ...

  5. k shortest path routing - Wikipedia

    en.wikipedia.org/wiki/K_shortest_path_routing

    s: the source node; t: the destination node; K: the number of shortest paths to find; p u: a path from s to u; B is a heap data structure containing paths; P: set of shortest paths from s to t; count u: number of shortest paths found to node u; Algorithm: P =empty, count u = 0, for all u in V insert path p s = {s} into B with cost 0 while B is ...

  6. Parallel single-source shortest path algorithm - Wikipedia

    en.wikipedia.org/wiki/Parallel_single-source...

    The maximum shortest path weight for the source node is defined as ():= {⁡ (,): ⁡ (,) <}, abbreviated . [1] Also, the size of a path is defined to be the number of edges on the path. We distinguish light edges from heavy edges, where light edges have weight at most Δ {\displaystyle \Delta } and heavy edges have weight bigger than Δ ...

  7. Yen's algorithm - Wikipedia

    en.wikipedia.org/wiki/Yen's_algorithm

    In graph theory, Yen's algorithm computes single-source K-shortest loopless paths for a graph with non-negative edge cost. [1] The algorithm was published by Jin Y. Yen in 1971 and employs any shortest path algorithm to find the best path, then proceeds to find K − 1 deviations of the best path.

  8. Any-angle path planning - Wikipedia

    en.wikipedia.org/wiki/Any-angle_path_planning

    Any-angle path planning algorithms are pathfinding algorithms that search for a Euclidean shortest path between two points on a grid map while allowing the turns in the path to have any angle. The result is a path that cuts directly through open areas and has relatively few turns. [ 1 ]

  9. Floyd–Warshall algorithm - Wikipedia

    en.wikipedia.org/wiki/Floyd–Warshall_algorithm

    The Floyd–Warshall algorithm is an example of dynamic programming, and was published in its currently recognized form by Robert Floyd in 1962. [3] However, it is essentially the same as algorithms previously published by Bernard Roy in 1959 [4] and also by Stephen Warshall in 1962 [5] for finding the transitive closure of a graph, [6] and is closely related to Kleene's algorithm (published ...