Optimal Paths (Leaving Cert Applied Maths): Quizzes

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Dijkstra Algorithm
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What does Dijkstra's Algorithm find in a weighted graph?

The shortest path between nodes

Which is NOT a meaning of 'shortest' in Dijkstra's Algorithm context?

Most nodes visited

Which real-world system uses Dijkstra's Algorithm?

GPS navigation systems

What values are assigned to the starting node?

Order 1, final value 0

What is the key rule for selecting the next node?

Choose node with smallest working value

Which is NOT a component of the tracking table?

Edge thickness

When are working values updated?

For nodes directly connected to new node

In the example, why is W chosen as the second completed node?

It has the smallest working value (7)

In the example, what is T's working value after W is completed?

10

When U is completed, why does X keep value 15 not 16?

15 is smaller than 16

What is the shortest distance from S to Z in the worked example?

28

How do you trace the actual shortest path?

Work backwards from destination

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