Weighted Graphs and Networks (VCE SSCE General Mathematics): Quizzes

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Weighted Graphs and Networks
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What are weights in a weighted graph?

Numbers on edges with extra info

What is a network in graph theory?

A weighted graph with measurable weights

Which is NOT a physical quantity that network weights can represent?

Number of vertices

What distinguishes a network from a weighted graph?

Networks have measurable real quantities

If weights represent time, what can shortest path problems find?

Route with shortest time

What is the first step of the inspection method?

List all possible routes

What is the second step of the inspection method?

Add up weights for each route

How many steps are in the inspection method?

3

In the example, what is the distance for route B–S–M–K?

2828 km

In the example, which route from Bartow to Kenton is shortest?

B–S–O–K at 2727 km

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