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General Mathematics · Unit 4 · Networks and decision mathematics 1 · Trees and minimum connector problems

Understand the meaning of tree, spanning tree and minimum spanning tree.

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Question 1

Determine the minimum spanning tree for the network below and calculate its total length.

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Question 2

A network graph is shown. Which of the following best describes this network?

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Question 3

A network graph is shown below. Which statement correctly describes this network?

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Question 4

A telecommunications company is planning to connect six regional towns (Ashford, Barton, Carlyle, Denton, Elwood, and Fairview) with fibre-optic cable. The table shows the cost (in thousands of dollars) of laying cable between each pair of towns. Use a minimum spanning tree to determine the total minimum cost of connecting all six towns.

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More in Trees and minimum connector problems

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Solve practical problems involving minimum spanning trees, e.g. minimising the length of cable needed to provide power from a single power station to substations in several towns.
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