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Therefore, the longest path problem is NP-hard. The question "does there exist a simple path in a given graph with at least k edges" is NP-complete. [2] In weighted complete graphs with non-negative edge weights, the weighted longest path problem is the same as the Travelling salesman path problem, because the longest path always includes all ...
The canonical application of topological sorting is in scheduling a sequence of jobs or tasks based on their dependencies.The jobs are represented by vertices, and there is an edge from x to y if job x must be completed before job y can be started (for example, when washing clothes, the washing machine must finish before we put the clothes in the dryer).
The A* algorithm has real-world applications. In this example, edges are railroads and h(x) is the great-circle distance (the shortest possible distance on a sphere) to the target. The algorithm is searching for a path between Washington, D.C., and Los Angeles.
The evaluation of regular path queries (RPQ), in the sense of returning all endpoint pairs, can be performed in polynomial time.To do this, for every endpoint pair, we can see the graph database as a finite automaton, also represent the regular path query as a finite automaton, and check if a suitable path exists by checking that the intersection of both languages is nonempty (i.e., solving ...
Both forms are actively used. Microsoft .NET (for example, the method new Uri(path)) generally uses the 2-slash form; Java (for example, the method new URI(path)) generally uses the 4-slash form. Either form allows the most common operations on URIs (resolving relative URIs, and dereferencing to obtain a connection to the remote file) to be ...
Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.
As a precursor to the lambda functions introduced in C# 3.0, C#2.0 added anonymous delegates. These provide closure-like functionality to C#. [3] Code inside the body of an anonymous delegate has full read/write access to local variables, method parameters, and class members in scope of the delegate, excepting out and ref parameters. For example:-
When the user types a command without providing the full path, this list is checked to see whether it contains a path that leads to the command. HOME and USERPROFILE (Microsoft Windows): indicate where a user's home directory is located in the file system.