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12 General Unit 4 Topic 2 2020

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

For the graph shown below, which vertex has degree 5?

a)

Q

b)

T

c)

S

d)

R

e)

U

2.

Which one of the following is not a subgraph of the graph shown on the right?

a)
b)
c)
d)
e)
3.

The graph that has been drawn from the adjacency

matrix shown on the right is:

a)
b)
c)
d)
e)
4.

The adjacency matrix that corresponds to the graph

on the right is:

a)
b)
c)
d)
e)
5.

A connected graph with 15 vertices divides the plan e into 12 faces. How many edges does this graph have?

a)

15

b)

23

c)

24

d)

25

e)

27

6.

A connected planar graph divides a plane into a number of faces. If the graph has eight vertices and these are linked by 13 edges, then how many faces does it have?

a)

5

b)

6

c)

7

d)

8

e)

10

7.

The walk A E D C B A is best described as a:

a)

cycle

b)

Hamiltonian path

c)

Eulerian trail

d)

closed trail

e)

open walk

8.

The walk E A F C D E is best described as a:

a)

Eulerian trail

b)

closed path

c)

Hamiltonian cycle

d)

closed trail

e)

open walk

9.

For the graph shown on the right, which edge could

be removed to result in a semi-Eulerian graph?

a)

A B

b)

A D

c)

B E

d)

C F

e)

D F

10.

The length of the shortest path from F to B in the network shown on the right is:

a)

17

b)

18

c)

19

d)

20

e)

21