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Networks and Graph Theory

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This feature introduces students to the topic of networks, which has many real life applications.

The problems in this feature will encourage students to experiment, conjecture and deduce general relationships for networks in different contexts.

You can find out more about real life applications of networks in these Plus articles.

You can also watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

Sprouts
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Sprouts

A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Who's who?
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Who's who?

Age
11 to 16
Challenge level
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Can you solve the clues to find out who's who on the friendship graph?

The Bridges of Konigsberg
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The Bridges of Konigsberg

Age
11 to 18
Challenge level
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Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
Can you traverse it?
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Can you traverse it?

Age
14 to 18
Challenge level
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How can you decide if a graph is traversable?

Network Trees
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Network Trees

Age
14 to 18
Challenge level
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Explore some of the different types of network, and prove a result about network trees.
Euler meets Schlegel
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Euler meets Schlegel

Age
16 to 18
Challenge level
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Discover how networks can be used to prove Euler's Polyhedron formula.