Question
Consider the network shown below (note that edges are directed ). Calculate the shortest paths to all nodes from source node A using Dijkstras algorithm.
Consider the network shown below (note that edges are directed).
Calculate the shortest paths to all nodes from source node A using Dijkstrasalgorithm. Record your solutions through the next few questions.
Note:
- When choosing the node to explore next, if there is more than one node that has the shortest known path so far, choose the node which is alphabetically earlier first.
- A few entries for Iteration 1 (i.e., row 1) have already been filled in for you. Use a similar format for the remaining answers.
Iteration 1
Node being explored: A
Shortest known distance from A to A: 0
From: A
Finalized: Yes
Shortest known distance from A to B: 6
From: A
Finalized: No
Shortest known distance from A to C: inf
From: A
Finalized: No
Shortest known distance from A to D:
From:
Finalized:
Shortest known distance from A to E:
From:
Finalized:
Shortest known distance from A to F:
From:
Finalized:
Shortest known distance from A to G:
From:
Finalized:
Shortest known distance from A to H:
From:
Finalized:
Iteration 2 (Row 2)
Node being explored:
Shortest known distance from A to A:
From:
Finalized:
Shortest known distance from A to B:
From:
Finalized:
Shortest known distance from A to C:
From:
Finalized:
Shortest known distance from A to D:
From:
Finalized:
Shortest known distance from A to E:
From:
Finalized:
Shortest known distance from A to F:
From:
Finalized:
Shortest known distance from A to G:
From:
Finalized:
Shortest known distance from A to H:
From:
Finalized:
Iteration 3 (Row 3)
Node being explored:
Shortest known distance from A to A:
From:
Finalized:
Shortest known distance from A to B:
From:
Finalized:
Shortest known distance from A to C:
From:
Finalized:
Shortest known distance from A to D:
From:
Finalized:
Shortest known distance from A to E:
From:
Finalized:
Shortest known distance from A to F:
From:
Finalized:
Shortest known distance from A to G:
From:
Finalized:
Shortest known distance from A to H:
From:
Finalized:
7 5 2 6 5 6 2 3 3 7 5 2 6 5 6 2 3 3
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