May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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10-70 Discrete Mathematical Structures
17. Draw the graph of the adjacency matrix
A
v
v
v
v
vvvv
=
1
2
3
4
0110
10
21
12
01
0110
12
34
18. Consider the graph G given below. Find which of the following sequences of vertices are
simple paths, walks, and circuits.
(i) (A, B, C, F)
(ii) (A, B, C, F, E, D, A)
(iii) (A, B, F, E, D, B, A)
(iv) (A, B, F, E, D)
(v) (D, E, F, C, B, D)
19. List all circuits in the graph that begin at vertex 1.
5
4
3
2
1
6
20. Can there be a graph that has (i) three vertices with degrees 2, 3, and 4? (ii) Four vertices
of degrees 2, 2, 2, 2. (iii) There are four vertices v
1
, v
2
, v
3
, and v
4
with degrees 4, 5, 2, and
5, respectively. ...
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