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The k shortest path routing problem is a generalization of the shortest path routing problem in a given network. It asks not only about a shortest path but also about next k−1 shortest paths (which may be longer than the shortest path). A variation of the problem is the loopless k shortest paths.
Learn how to find the shortest paths between nodes in a weighted graph using Dijkstra's algorithm, invented by Edsger W. Dijkstra in 1956. See the algorithm's history, implementation, complexity, and examples.
Learn about the TSP, a classic optimization problem that asks for the shortest route visiting each city once. Find out its history, applications, and algorithms, including the Christofides-Serdyukov algorithm.
Pathfinding is the search for the shortest route between two points in a graph. Learn about Dijkstra's, A*, and other algorithms, and how they are used in video games, transportation, and other domains.
Learn about the problem of finding a path between two vertices in a graph with minimum weight or length. Compare different algorithms and their time complexities for various types of graphs and weights.
Short routes between close start and target locations may not require any transit nodes. In this case, the above framework leads to incorrect distances because it forces routes to visit at least one transit node. To prevent this kind of problem, a locality filter can be used. For given start and target locations, the locality filter decides, if ...
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