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MAS 801 It's a Discreetly Discrete World – Mathematics in Real-life ...

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Lecture 9: 22 October 2008<br />

Exercise 2: Answer<br />

2 3 4<br />

)<br />

1 0 0 0<br />

• The adjacency matrix for the graph is A =<br />

0 0 0 0 (1<br />

(<br />

0 1 0 1<br />

)<br />

0 1 0<br />

0 0 0 0<br />

( ( ) )<br />

1<br />

• The transpose of A is A T =<br />

• A T J =<br />

0 1 0 1<br />

0 0 0 0<br />

1 0 0 1<br />

0 0 0 0<br />

)<br />

1<br />

1<br />

1<br />

1<br />

0 0 0 0<br />

1 0 0 1<br />

=<br />

(2<br />

0<br />

2<br />

0<br />

0 0 1 0<br />

• Importance of<br />

• node 1 = 2<br />

• node 2 = 0<br />

• node 3 = 2<br />

• node 4 = 0

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