OCR MEI D2 2005 June — Question 3

Exam BoardOCR MEI
ModuleD2 (Decision Mathematics 2)
Year2005
SessionJune
TopicShortest Path

3 The distance and route matrices shown in Fig. 3.1 are the result of applying Floyd's algorithm to the incomplete network on 4 vertices shown in Fig. 3.2. Distance Matrix \begin{center} \begin{tabular}{ | c | c | c | c | c | } \multicolumn{1}{l}{} & \(\mathbf { 1 }\) & \(\mathbf { 2 }\) & \(\mathbf { 3 }\) & \(\mathbf { 4 }\)
\hline \(\mathbf { 1 }\) & 4 & 2 & 3 & 9
\hline \(\mathbf { 2 }\) & 2 & 2 & \(\mathbf { 1 }\) & 7
\hline \(\mathbf { 3 }\) & 3 & \(\mathbf { 1 }\) & 2 & 6
\hline