shortest route algorithm - translation to ρωσικά
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shortest route algorithm - translation to ρωσικά

ALGORITHM IN COMPUTER NETWORK ROUTING
Edge Disjoint Shortest Pair Algorithm
  • Graphical Illustration of the Shortest Pair of Disjoint Paths Algorithm

shortest route algorithm      
алгоритм выбора кратчайшего пути
shortest path algorithm         
PROBLEM OF FINDING A PATH BETWEEN TWO VERTICES (OR NODES) IN A GRAPH SUCH THAT THE SUM OF THE WEIGHTS OF ITS CONSTITUENT EDGES IS MINIMIZED
Shortest path; All pairs shortest path problem; All-pairs shortest path problem; All-pairs shortest path; All pairs shortest path; Shortest path algorithms; Shortest Path Algorithms; Shortest path algorithm; Single-destination shortest-path problem; Single-pair shortest-path problem; Single-source shortest-path problem; The Shortest Paths; Negative cycle; DAG shortest paths; Single destination shortest path problem; Single-destination shortest path problem; Singledestination shortest path problem; Single destination shortest-path problem; Singledestination shortest-path problem; Single destination shortestpath problem; Single-destination shortestpath problem; Singledestination shortestpath problem; Shortest-path problem; Shortestpath problem; Shortest-path; Shortestpath; Shortest path problems; Shortest-path problems; Shortestpath problems; Shortest paths; Shortest-paths; Shortestpaths; Single-source shortest path problem; Single source shortest path problem; Singlesource shortest path problem; Single source shortest-path problem; Singlesource shortest-path problem; Single source shortestpath problem; Single-source shortestpath problem; Singlesource shortestpath problem; Apsp; Shortest Path Problem; Shortest path routing; Shortest-path routing; Single-source shortest-paths algorithms for directed graphs with nonnegative weights; APSP; Shortest-path algorithms; Shortest-distance problems; Applications of shortest path algorithms; Algebraic path problem; Graph geodesic
алгоритм кратчайшего пути
shortest path algorithm         
PROBLEM OF FINDING A PATH BETWEEN TWO VERTICES (OR NODES) IN A GRAPH SUCH THAT THE SUM OF THE WEIGHTS OF ITS CONSTITUENT EDGES IS MINIMIZED
Shortest path; All pairs shortest path problem; All-pairs shortest path problem; All-pairs shortest path; All pairs shortest path; Shortest path algorithms; Shortest Path Algorithms; Shortest path algorithm; Single-destination shortest-path problem; Single-pair shortest-path problem; Single-source shortest-path problem; The Shortest Paths; Negative cycle; DAG shortest paths; Single destination shortest path problem; Single-destination shortest path problem; Singledestination shortest path problem; Single destination shortest-path problem; Singledestination shortest-path problem; Single destination shortestpath problem; Single-destination shortestpath problem; Singledestination shortestpath problem; Shortest-path problem; Shortestpath problem; Shortest-path; Shortestpath; Shortest path problems; Shortest-path problems; Shortestpath problems; Shortest paths; Shortest-paths; Shortestpaths; Single-source shortest path problem; Single source shortest path problem; Singlesource shortest path problem; Single source shortest-path problem; Singlesource shortest-path problem; Single source shortestpath problem; Single-source shortestpath problem; Singlesource shortestpath problem; Apsp; Shortest Path Problem; Shortest path routing; Shortest-path routing; Single-source shortest-paths algorithms for directed graphs with nonnegative weights; APSP; Shortest-path algorithms; Shortest-distance problems; Applications of shortest path algorithms; Algebraic path problem; Graph geodesic

теория графов

алгоритм поиска кратчайшего маршрута

Βικιπαίδεια

Edge disjoint shortest pair algorithm

Edge disjoint shortest pair algorithm is an algorithm in computer network routing. The algorithm is used for generating the shortest pair of edge disjoint paths between a given pair of vertices. For an undirected graph G(V, E), it is stated as follows:

  1. Run the shortest path algorithm for the given pair of vertices
  2. Replace each edge of the shortest path (equivalent to two oppositely directed arcs) by a single arc directed towards the source vertex
  3. Make the length of each of the above arcs negative
  4. Run the shortest path algorithm (Note: the algorithm should accept negative costs)
  5. Erase the overlapping edges of the two paths found, and reverse the direction of the remaining arcs on the first shortest path such that each arc on it is directed towards the destination vertex now. The desired pair of paths results.

In lieu of the general purpose Ford's shortest path algorithm valid for negative arcs present anywhere in a graph (with nonexistent negative cycles), Bhandari provides two different algorithms, either one of which can be used in Step 4. One algorithm is a slight modification of the traditional Dijkstra's algorithm, and the other called the Breadth-First-Search (BFS) algorithm is a variant of the Moore's algorithm. Because the negative arcs are only on the first shortest path, no negative cycle arises in the transformed graph (Steps 2 and 3). In a nonnegative graph, the modified Dijkstra algorithm reduces to the traditional Dijkstra's algorithm, and can therefore be used in Step 1 of the above algorithm (and similarly, the BFS algorithm).

Μετάφραση του &#39shortest route algorithm&#39 σε Ρωσικά