The Route Inspection (Chinese Postman) problem

The Route Inspection (Chinese Postman) problem Quiz

Spec 3.1 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. The degrees of all the vertices in a network add up to 18. How many arcs does the network have?

    • A. 6
    • B. 18
    • C. 9
    • D. 36
  2. 2. A network has exactly two odd vertices. Which arcs are repeated?

    • A. The shortest path joining the two odd vertices
    • B. Every arc once more
    • C. The longest arc
    • D. The arc between the two odd vertices, even if it is not shortest
  3. 3. A network has total weight 50. The best pairing of the odd vertices adds 9. What is the shortest closed route that uses every arc?

    • A. 41
    • B. 50
    • C. 9
    • D. 59
  4. 4. A network has total weight 40. The only odd vertices are X and Y. The arc XY is 9 and the path X–Z–Y is 3 + 4. What is the shortest route?

    • A. 49
    • B. 47
    • C. 40
    • D. 52
  5. 5. A connected network has every vertex of even degree. What is the shortest closed route using every arc at least once?

    • A. The total weight plus the shortest arc
    • B. Twice the total weight
    • C. The total weight of all the arcs
    • D. It cannot be done

Quiz