Dijkstra's algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights. Here's a step-by-step explanation of how it works:

1. Set the initial node as the current node. Set the shortest distance to all other nodes as infinity, except for the initial node, which is set to 0.

2. For the current node, consider all of its unvisited neighbors and calculate their tentative distances. Compare the newly calculated tentative distance to the current assigned value and assign the smaller one.

3. After considering all of the unvisited neighbors of the current node, mark the current node as visited. A visited node will not be checked again.

4. If the destination node has been marked visited, or if the smallest tentative distance among the nodes left is infinity (meaning there is no connection), the algorithm has finished.

5. Otherwise, select the unvisited node that is marked with the smallest tentative distance, set it as the new "current node", and go back to step 3.

Question

Dijkstra's algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights. Here's a step-by-step explanation of how it works:

1. Set the initial node as the current node. Set the shortest distance to all other nodes as infinity, except for the initial node, which is set to 0.

2. For the current node, consider all of its unvisited neighbors and calculate their tentative distances. Compare the newly calculated tentative distance to the current assigned value and assign the smaller one.

3. After considering all of the unvisited neighbors of the current node, mark the current node as visited. A visited node will not be checked again.

4. If the destination node has been marked visited, or if the smallest tentative distance among the nodes left is infinity (meaning there is no connection), the algorithm has finished.

5. Otherwise, select the unvisited node that is marked with the smallest tentative distance, set it as the new "current node", and go back to step 3.

Knowee AI · Accepted Answer

Dijkstra's algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights. Here's a step-by-step explanation of how it works:

1. Set the initial node as the current node. Set the shortest distance to all other nodes as infinity, except for the initial node, which is set to 0.

2. For the current node, consider all of its unvisited neighbors and calculate their tentative distances. Compare the newly calculated tentative distance to the current assigned value and assign the smaller one.

3. After considering all of the unvisited neighbors of the current node, mark the current node as visited. A visited node will not be checked again.

4. If the destination node has been marked visited, or if the smallest tentative distance among the nodes left is infinity (meaning there is no connection), the algorithm has finished.

5. Otherwise, select the unvisited node that is marked with the smallest tentative distance, set it as the new "current node", and go back to step 3.

Which algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights?Bellman-Ford algorithmDijkstra's algorithmKruskal's algorithmFloyd-Warshall algorithm

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