Dijkstra Algorithm Using Greedy Technique In Python

This tutorial discusses how to implement Dijkstra's algorithm for finding the shortest path in Python. As mentioned above, Dijkstra's algorithm is greedy. A greedy algorithm can be defined as an algorithmic paradigm that focuses on building up a piece-by-piece solution to the given problem, choosing the most beneficial option then.

Below is my implementation for Dijkstra's algorithm using heaps for undirected graphs. This works just fine for reasonably sized graphs however I am not satisfied by my code for recalculating greedy criterion of nodes connected to the newly explored node.

Dijkstra Shortest Path algorithm is a greedy algorithm that assigns cost to each adjacent nodes by choosing the minimum element and finds the shortest distan

Dijkstra's shortest path algorithm in Python - GeeksforGeeks

Dijkstra's Algorithm Greedy approach. Maintain a set of explored nodes for which algorithm has determined length of a shortest path. Initialize , . Repeatedly add unexplored node which minimizes S du s u S s ds 0 v S min eu,vuS du e s v u S du e the length of a shortest path from s

Dijkstra's algorithm is very similar to Prim's algorithm for minimum spanning tree. Like Prim's MST, we generate an SPT shortest path tree with a given source as root. We maintain two sets, one set contains vertices included in the shortest-path tree, another set includes vertices not yet included in the shortest-path tree.

This can be represented as a weighted graph and Dijkstra algorithm can help to find the shortest path from source node to all the other nodes in the graph very efficiently. It is a greedy

1. Dijkstra algorithm works only for connected graphs. 2. Dijkstra algorithm works only for those graphs that do not contain any negative weight edge. 3. The actual Dijkstra algorithm does not output the shortest paths. 4. It only provides the value or cost of the shortest paths. 5. Dijkstra algorithm works for directed as well as un-directed

Copy the provided Python code into a file named dijkstra.py. Open a terminal or command prompt and navigate to the directory containing the dijkstra.py file. Run the program using the command python dijkstra.py. The program will execute the defined examples and output the shortest distances and paths. Example Output

Space Complexity The space complexity of Dijkstra's algorithm is OV, where V is the number of vertices in the graph. This is because the algorithm uses an array of size V to store the distances from the source node to all other nodes. Please refer complete article on Dijkstra's shortest path algorithm Greedy Algo-7 for more details!