Edexcel D1 2013 January — Question 4

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2013
SessionJanuary
TopicCombinations & Selection

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bd6edbd4-1ec0-4c7e-bd39-b88f96bf52fb-4_629_1392_187_319} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure}
  1. Explain what is meant, in a network, by the term path.
    (2) Figure 4 represents a network of canals. The number on each arc represents the length, in miles, of the corresponding canal.
  2. Use Dijkstra's algorithm to find the shortest path from S to T . State your path and its length.
  3. Write down the length of the shortest path from S to F . Next week the canal represented by \(\operatorname { arc } \mathrm { AB }\) will be closed for dredging.
  4. Find a shortest path from S to T avoiding AB and state its length.