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General Mathematics · Unit 4 · Graphs and networks · Planar graphs, paths and cycles

Solve practical problems involving semi-Eulerian graphs and Eulerian graphs.

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Question 1

A waste collection service needs to plan a route that traverses every street in a suburb exactly once, returning to the depot. The street network has 8 vertices (intersections), 12 edges (streets), and all vertices have even degree except for two vertices which have odd degree. Which statement correctly describes the route planning problem?

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