Weighted Graphs, Networks, and the Shortest Path Problem (VCE SSCE General Mathematics): Quizzes

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Weighted Graphs, Networks, and the Shortest Path Problem
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What is a weighted graph?

A graph with numbers on each edge

What is a network?

A weighted graph with physical quantities

What is the key distinction between networks and weighted graphs?

Networks have physical quantity weights

Which of these is NOT mentioned as a physical quantity that network weights can represent?

Temperature

How do you calculate the length of a path through multiple vertices?

Add up all edge weights along the path

What is the shortest path problem?

Finding the shortest route between vertices

When using inspection, which paths should be eliminated?

Paths visiting vertices more than once

What is Step 2 in finding shortest path by inspection?

Calculate length of each route

What must you include when stating your final answer for a shortest path problem?

Both the path and its total length

If path AA has edges 55, 88, 33 km, what is the total path length?

1616 km

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