5 Questions
What is the length of the edge connecting vertex C to vertex D in graph G?
4
If Dijkstra's algorithm starts at vertex C in graph G, which vertex will it reach second?
A
Considering the shortest path from vertex A to vertex C in graph G, which edges are traversed in that path?
AB, AC
If the edge length between vertices B and D in graph G was mistakenly noted as 3 instead of its actual length, what impact would it have on Dijkstra's algorithm starting at vertex A?
It would result in a different shortest path from A to D
Assuming there is an additional vertex E connected to vertex D with an edge length of 3, how would this new connection affect Dijkstra's algorithm starting at vertex A?
It would not affect the shortest path from A to D
Study Notes
Dijkstra's Algorithm
- In graph G, vertices are A, B, C, and D.
- Edges in the graph have weights: AB = 3, BC = 1, CD = 4, DA = 2, AC = 5, and BD = 2.
- Starting at vertex A, Dijkstra's algorithm finds the shortest path to reach vertex D as A -> B -> D.
Test your knowledge on Dijkstra's algorithm for finding the shortest path in a graph. Determine if the given path A -> B -> D is correct when starting at vertex A.
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