Example output
Let's tackle this step by step. Dijkstra's algorithm is a popular method for finding the shortest path between nodes in a graph, especially when all edge weights are non-negative. Here's a basic outline of the algorithm:
Initialization: Assign a tentative distance value to every node. Set the initial node's distance to 0 and all other nodes' distances to infinity. Create an empty set to keep track of visited nodes.
Iteration: Repeat the following until all nodes have been visited:
a. Select the unvisited node with the smallest tentative distance.
b. For the current node, consider all of its unvisited neighbors and calculate their tentative distances through the current node. Compare the newly calculated tentative distance to the current assigned value and update it if it's smaller.
c. Mark the current node as visited.
Termination: When all nodes have been visited, the algorithm is complete.
Would you like to see a Python implementation of Dijkstra's algorithm to get a better understanding?