The Route Inspection Algorithm (Edexcel A-Level Further Mathematics): Quizzes

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Route Inspection
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What is the Route Inspection Algorithm also known as?

Chinese Postman Problem

If all vertices have even degrees, what type of graph is it?

Eulerian

How many odd-degree vertices will there always be in any graph?

An even number

When pairing odd vertices, what should you minimise?

Total weight of added paths

What is duplicated to make all vertices have even degrees?

Edges

What is the formula for total route distance?

Original edges + added edges

In the worked example, which vertices have odd degrees?

BB and DD

In the worked example, what is the total distance of the shortest route?

3737 units

A graph with exactly two odd-degree vertices is called what?

Semi-Eulerian

What is a common mistake when calculating total distance?

Neglecting added edge weights

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