August 1999
MA214 : DISCRETE MATHEMATICS

QUESTION 5

Total Marks: 20 Marks

Click here to access other questions

Click to access
SUGGESTED SOLUTIONS
for Question 5

(a) Draw K6.

 

[2]
(b) Let R be a binary relations on A = { 2,3,4,5,6,7,8} defined by :

"x,y : A xRy Û y is a multiple of x

(i) Draw the directed graph for R.

(ii) Write down the adjacency matrix for R.

(iii) Write down the distance matrix for R.

 

 

 

[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)

pic3.gif (7496 bytes)

[3]
(ii)

pic4.gif (6030 bytes)

[3]