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A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The graphs are weighted directed graphs. The weight could be cost, time, and losses other than distance designated by numerical values.
Single source shortest path problem: To determine a shortest path from a single source to each of the vertex of the Graph.
Suppose a Graph G = (V, E). We desire to find out the shortest path from single source vertex s?V, to every vertex v?V. The single source shortest path algorithm (Dijkstra's Algorithm) is depending on assumption that no edges have negative weights.
The process followed to find shortest path are depend on a concept called relaxation. This method frequently decreases the upper bound of actual shortest path of each vertex from the source until it equals the shortest-path weight. Please note down that shortest path among two vertices contains other shortest path within it.
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Q. Illustrate the result of running BFS and DFS on the directed graph given below using vertex 3 as source. Show the status of the data structure used at each and every stage.
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The data structure needed for Breadth First Traversal on a graph is Queue
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Define Prim's Algorithm Prim's algorithm is a greedy algorithm for constructing a minimum spanning tree of a weighted linked graph. It works by attaching to a bef
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