Practice Total Cost Calculation (26.1.4) - Shortest Paths in Weighted Graphs

Practice: Total Cost Calculation

Lesson 26.1.4Shortest Paths in Weighted Graphs

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8 questions

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6 sample questions

Question 1.
Define a weighted graph.
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Refer to the document where the term 'weighted graphs' is defined.
Question 2.
What does the term 'cost' refer to in the context of graphs?
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Think about real-life scenarios like travel costs.
3Question 3.
What defines a weighted graph?
- Edges have costs
- All edges are equal
- Vertices are connected
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Think of real-world applications like transportation.
4Question 4.
Dijkstra's algorithm is used for what purpose?
- True
- False
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Remember its application in real-world scenarios.
Question 5.
Given a weighted graph with specific edges and weights, apply Dijkstra's algorithm to determine the shortest path from vertex A to vertex D. Show each step of your calculations.
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Be meticulous with edge weights during updates.
Question 6.
Create a scenario in which a decision must be made between a path with many edges and a path with higher costs but fewer edges. Justify your conclusion.
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Consider tolls vs. free roads in transportation.

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