26.2.5. Dijkstra's Algorithm (Shortest Path)

Try these first

1. 1.

   What is the purpose of Dijkstra's Algorithm?

   Hint

   Think about navigation systems.

2. 2.

   Can Dijkstra's Algorithm handle negative edge weights?

   Hint

   Recall the weight condition for Dijkstra's.

3. 3.

   What type of graph can Dijkstra's Algorithm be applied to?

   • Graphs with negative weights
   • Weighted graphs with non-negative weights
   • Unweighted graphs
   • Cyclic graphs

   Hint

   Consider the weight conditions for the algorithm.

4. 4.

   True or False: Dijkstra's Algorithm can efficiently find the shortest path in any type of graph.

   • True
   • False

   Hint

   Think about weight restrictions.

5. 5.

   Given a weighted graph with six nodes and various edge costs, illustrate Dijkstra's Algorithm step-by-step. Include a diagram showing nodes, paths, and final distances.

   Hint

   Focus on how distances are updated after each node is processed.

6. 6.

   Compare Dijkstra's Algorithm and the Bellman-Ford Algorithm regarding handling negative weights and efficiency. Which scenarios would favor one over the other?

   Hint

   Discuss efficiency in terms of performance versus correctness.