Connector Problems and Shortest Path (HSC SSCE Mathematics Standard): Quizzes

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Connector Problems and Shortest Path
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What does a connector problem aim to find?

Most economical way to link all locations

What does a minimum spanning tree represent?

Smallest total weight connecting all vertices

Which is a key characteristic of connector problems?

All vertices must be connected

Which algorithm is used to solve connector problems?

Prim's algorithm

What is the shortest path in a network?

Route with minimised sum of edge weights

How do connector and shortest path problems differ?

Connector links all; shortest links two

Why might shortest distance not be quickest?

Different speed limits affect time

Can there be multiple shortest paths between two vertices?

Yes, multiple paths can exist

What are the steps in the method of inspection?

List, Calculate, Compare

Must shortest paths pass through all vertices?

No, they may not pass through all

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