Networks and Paths (HSC SSCE Mathematics Standard): Quizzes

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Shortest Path
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What is the shortest path in a network?

Route with smallest total edge weights

When edge weights represent time, what does the shortest path find?

The quickest route to travel

Is the shortest distance route always the fastest in terms of time?

No, speed limits can affect travel time

What should you do when speed limits vary across routes?

Use time as edge weights, not distance

What are the steps in the method of inspection?

List paths, calculate weights, compare

Can there be more than one shortest path between two vertices?

Yes, multiple paths can have same weight

Must the shortest path go through all vertices in the network?

No, it might not visit all vertices

Find the length of path ACEFA - C - E - F with edges 44, 77, 33.

1414

Why must you check all reasonable routes when finding the shortest path?

Don't guess - paths may have same totals

How can you save time when finding the shortest path?

Eliminate obviously inefficient routes

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