Edexcel D1 2018 January — Question 1

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2018
SessionJanuary
TopicCombinations & Selection

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e0c89aba-9d2e-469b-8635-d513df0b65a4-02_611_515_333_397} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e0c89aba-9d2e-469b-8635-d513df0b65a4-02_611_515_333_1146} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure}
  1. Define the term 'bipartite graph'. Figure 1 shows the possible allocations of six people, A , B , C , D , E and F , to six activities, \(1,2,3\), 4, 5 and 6 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 that you use, and state your complete matching.