How does Dijkstra's algorithm update the tentative distances?
Practice Questions
1 question
Q1
How does Dijkstra's algorithm update the tentative distances?
By adding the edge weights to the current distances
By multiplying the edge weights with the current distances
By subtracting the edge weights from the current distances
By averaging the edge weights
Dijkstra's algorithm updates the tentative distances by adding the edge weights to the current distance of the node.
Questions & Step-by-step Solutions
1 item
Q
Q: How does Dijkstra's algorithm update the tentative distances?
Solution: Dijkstra's algorithm updates the tentative distances by adding the edge weights to the current distance of the node.
Steps: 6
Step 1: Start with a graph where each node has a tentative distance. Initially, set the distance of the starting node to 0 and all other nodes to infinity.
Step 2: Select the node with the smallest tentative distance. This is your current node.
Step 3: Look at all the neighboring nodes connected to the current node.
Step 4: For each neighboring node, calculate the new tentative distance by adding the edge weight (the distance to the neighbor) to the current node's tentative distance.
Step 5: If the new tentative distance is less than the neighbor's current tentative distance, update the neighbor's tentative distance to the new value.
Step 6: Repeat steps 2 to 5 until all nodes have been visited or the shortest path to the target node is found.
