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MATHS ( NETWORK)

Total questions: 17

Worksheet time: 12mins

Name
Class
Date
1.

Which of the statements below is not true

a)

V = {P, Q, R, S, T, U}

b)

E = {(R,S), (S,T), (T,U), (U,P), (P,Q)}

c)

d(R) = 3

d)

sum of degree = 18

2.

Which of the following statements in not true?

a)

V={ P, Q, R, S, T, U}

b)

E= {(P,P), (P,R), (R,S), (S,T), (T,S), (R,Q), (Q,P)}

c)

d(P) = 3

d)

sum of degree = 14

3.

Which of the following statements in not true?

a)

V = { P, Q, R, S, T}

b)

E = { (P,Q), (Q,R), (S,R), (S,T), (T,T), (P,S), (S,P)}

c)

din (T) = 2

d)

sum of degree = 14

4.

In the Graph Theory, a graph need to have a minimum of _____ nodes and _____ edges.

a)

1 ; 0

b)

1 ; 1

c)

2 ; 1

d)

2 ; 2

5.

Choose the FALSE statement from the statements below.

a)

A node is also known as a vertex.

b)

A link is also known as an edge.

c)

A loop is counted as two edges.

d)

The order of a graph is the total number of vertices of the graph.

6.

Which of the following is a TRUE statement?

a)

A graph can have many nodes but without edges.

b)

A graph can have many edges but without nodes.

c)

A graph can have no nodes and no edges.

d)

A graph cannot be simple graph and complete graph at the same time.

7.

Determine the sum of degrees

(a)  

8.

State the number of vertices

a)

8

b)

6

c)

7

d)

5

9.

State the number of vertices.

a)

14

b)

3.5

c)

7

d)

5

10.

State the number of edges.

a)

18

b)

7

c)

9

d)

6

11.

Determine the sum of degrees.

a)

16

b)

8

c)

4

d)

13

12.

Determine the n(E) for this graph with multiple edges and loops.

a)

8

b)

20

c)

5

d)

10

13.

State Σ d(v)

a)

4

b)

8

c)

16

d)

32

14.

Determine n(V).

a)

4

b)

8

c)

5

d)

10

15.

In the Graph Theory, a graph need to have a minimum of _____ nodes and _____ edges.

a)

1 ; 0

b)

1 ; 1

c)

2 ; 1

d)

2 ; 2

16.

An edge that connects a

vertex to itself

a)

Vertex

b)

Loops

c)

Multiple graph

d)

Undirected graph

17.

Diagram 1 shows a graph. Calculate the sum of degree.

a)

9

b)

12

c)

18

d)

20