Dijkstra's Algorithm Shortest Path Quiz
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Questions and Answers

What is the length of the edge connecting vertex C to vertex D in graph G?

  • 4 (correct)
  • 11
  • 6
  • 9

If Dijkstra's algorithm starts at vertex C in graph G, which vertex will it reach second?

  • A (correct)
  • B
  • D
  • Not enough information to determine

Considering the shortest path from vertex A to vertex C in graph G, which edges are traversed in that path?

  • AB, AC (correct)
  • AB, BD
  • AB, BC
  • AB, CD

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?

<p>It would result in a different shortest path from A to D (D)</p> Signup and view all the answers

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?

<p>It would not affect the shortest path from A to D (B)</p> Signup and view all the answers

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.

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Description

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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