August
1999 QUESTION 5 Total Marks: 20 Marks |
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(a) | Draw K6.
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[2] |
(b) | Let R be a binary relations on A = {
2,3,4,5,6,7,8} defined by :
(i) Draw the directed graph for R. (ii) Write down the adjacency matrix for R. (iii) Write down the distance matrix for R.
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[4] [4] [4] |
(c) | Determine whether or not the graphs below are Eulerian. If they are, write down a Euler circuit otherwise explain why it is not Eulerian. | |
(i) |
[3] | |
(ii) |
[3] |