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Graphs and Networks SF

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

How many of these vertices have an even degree?

a)

1

b)

2

c)

3

d)

4

2.

If a planar graph has two faces and five edges, how many vertices will it have?

a)

3

b)

4

c)

5

d)

9

3.

Four friends are planning a dinner party and nominate which course of the meal they would be happy

to bring, as shown in the bipartite graph below.

a)

Anna – entrée,

Bri – soup,

Chris – main, Dhevan - dessert

b)

Anna – entrée,

Bri – main,

Chris – soup, Dhevan - dessert

c)

Anna – soup,

Bri – main,

Chris – entree, Dhevan - dessert

d)

Anna – entrée,

Bri – main,

Chris – dessert, Dhevan - soup

4.

The adjacency matrix for the graph shown is

a)

b)

c)

d)

5.

Identify which one of the following graphs is NOT a tree.

a)

b)

c)

d)

6.

For the activity network, which statement is NOT true?

a)

Activity A must be completed before any other activity can begin.

b)

Activities B and C have to begin at the same time.

c)

Activities E and G could be done at the same time

d)

All other activities must be completed before Activity I can begin.

7.

Which of the following statements is NOT true?

In critical path analysis, ‘critical path’ is the term given specifically to those activities

a)

which have zero float time

b)

which must be completed for the project to be finished

c)

whose latest starting time and earliest starting time are the same

d)

which will delay the finish of the project if they are not completed on time

8.

Which directed network below is represented by the given adjacency matrix?

a)

b)

c)

d)

9.

The minimum spanning tree for the network below will have

a)

4 edges

b)

5 edges

c)

6 edges

d)

7 edges

10.

The walk C-D-E-H-F-G-A-B-C is most completely described as a

a)

closed walk

b)

Eulerian trail

c)

Hamiltonian cycle

d)

closed path