Edexcel D1 — Question 3

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
TopicCombinations & Selection

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{552f3296-ad61-448b-8168-6709fb359fa2-3_780_1353_248_356} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 represents the distance, in metres, between eight data collection points, \(\mathrm { A } , \mathrm { B } , \mathrm { C } , \mathrm { D } , \mathrm { E } , \mathrm { F }\), G and H . The data collection points are to be linked by cables.
  1. Listing the arcs in the order that you select them, find a minimum spanning tree for the network using
    1. Kruskal's algorithm, stating in addition any arcs you reject,
    2. Prim's algorithm, starting from A .
  2. State the minimum amount of cable needed.
  3. Draw your minimum spanning tree using the vertices given in Figure 1 in your answer book.