Dijkstra s algorithm on adjacency matrix in python

Title: Implementing Dijkstra's Algorithm on an Adjacency Matrix in Python
Introduction:
Dijkstra's algorithm is a widely used algorithm for finding the shortest paths between nodes in a graph. This tutorial will guide you through implementing Dijkstra's algorithm using an adjacency matrix representation of a graph in Python.
Prerequisites:
Before you start, make sure you have Python installed on your machine.
Step 1: Create the Graph
Let's start by creating a simple graph represented by an adjacency matrix. In this example, we'll use a 2D list to represent the adjacency matrix.
This matrix represents a graph with 9 nodes, and the values in the matrix represent the weights of the edges between nodes. A value of 0 indicates no direct connection between the nodes.
Step 2: Implement Dijkstra's Algorithm
Now, let's implement the Dijkstra's algorithm to find the shortest path from a source node to all other nodes.
This implementation includes a helper function min_distance to find the vertex with the minimum distance value and a print_result function to display the final result.
Step 3: Run Dijkstra's Algorithm
Finally, run Dijkstra's algorithm with a chosen starting node by calling the dijkstra function with the graph and the starting node as parameters.
Conclusion:
You have successfully implemented Dijkstra's algorithm on an adjacency matrix in Python. This algorithm is useful for finding the shortest paths in weighted graphs, and you can modify the example graph and starting node to suit your specific use case.
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