Edexcel D1 2001 June — Question 2

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2001
SessionJune
TopicMinimum Spanning Trees

2. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{6d306129-6e1f-424a-b21c-1bf6434ee082-3_708_1096_360_408}
\end{figure} Figure 1 shows 7 locations \(A , B , C , D , E , F\) and \(G\) which are to be connected by pipelines. The arcs show the possible routes. The number on each arc gives the cost, in thousands of pounds, of laying that particular section.
  1. Use Kruskal's algorithm to obtain a minimum spanning tree for the network, giving the order in which you selected the arcs.
    (4)
  2. Draw your minimum spanning tree and find the least cost of the pipelines.
    (3)