Algorithm for Finding Shortest Path in Weighted Graph
One of the most efficient algorithms for finding the shortest path between two nodes in a weighted graph is Dijkstra's algorithm. Dijkstra's algorithm is a graph search algorithm that finds the shortest path from a starting node to all other nodes in the graph. It works by iteratively selecting the node with the smallest distance from the starting node and relaxing the distances of its neighboring nodes.
Dijkstra's algorithm is widely used in various applications such as network routing, GPS navigation, and optimization problems. It has a time complexity of O(V^2) for a graph with V vertices, but it can be optimized to O(E log V) using a priority queue data structure.
Overall, Dijkstra's algorithm is a popular and efficient choice for finding the shortest path in weighted graphs due to its simplicity and effectiveness in finding the optimal solution.
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