OVERVIEW OF NETWORKS AND GRAPHS

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Presentation transcript:

OVERVIEW OF NETWORKS AND GRAPHS Activity Book

Activity 1 What questions would you anticipate will accompany this diagram ? What other data might make the diagram more helpful?

Distances between cities Cork Limerick Galway Sligo Belfast Dublin 98 196 320 420 260 100 222 362 200 140 325 210 105 Now show this chart as a possible addendum to our previous question. We notice a symmetry - must be main roads(two way) as distance is the same either direction

ACTIVITY Based on the given data : Can I identify Nodes ? What would the weights signify ? Can I identify a path using four nodes ? Can I represent the given data in graph format ? What is the shortest distance from Limerick to Belfast ?

ACTIVITY 2 Verify if the minimum spanning tree will have a weight total of 24. Select a different Node to commence the minimum spanning tree. Connect all the nodes with minimum total. Hopefully it is 24.