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  3. 4 a expression trees are used to represent calculations when...

Question: 4 a expression trees are used to represent calculations when...

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4. (a) Expression trees are used to represent calculations when many modern programming languages are compiled. Show the trees for the expressions:

i. (x + y)*z /( y + z)
ii. z + (z * y) – (x + z)
and evaluate the trees when x=14, y=10 and z=2.

[8 Marks]

(b) Let G= be a graph with vertices V={v1, v2, v3,…..,vn} and E the set of edges. i.   Define and show on a graph what is meant by a circuit on G
ii. Define and show on a graph what is meant by a Eulerian circuit on G

[6 Marks]

iii. Suppose there are a number of meeting to schedule for various employee groups using as few time slots as possible. If two meetings need the same employee groups present, then they cannot be scheduled in the same time slot.
Solve this problem by colouring a graph (using as few colours as possible). The following table shows the set of meetings needing to be attended by employee groups groups Planning (P), Manufacturing (M), Quality (Q) and Personnel (HR).

meeting Students P, M M, Q M, Q M1 M3 M4 M5 M6 P, HR

     

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