Edexcel D1 2016 June — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2016
SessionJune
TopicCombinations & Selection

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{22ff916a-4ba8-4e0c-9c53-e82b0aff0b98-02_492_515_374_383} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{22ff916a-4ba8-4e0c-9c53-e82b0aff0b98-02_492_529_379_1160} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure}
  1. Define the term 'bipartite graph'. Figure 1 shows the possible allocations of five people, Larry (L), Monisha (M), Nina (N), Phil (P) and Theo (T), to five activities, A, B, C, D and E. Figure 2 shows an initial matching.
  2. Starting from this initial matching, use the maximum matching algorithm to find a complete matching. You should list the alternating path you use and state your complete matching.