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Worksheets

II Component (Graph Theory)

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

How many Hamiltonian paths does the above graph have?

a)

1

b)

2

c)

0

d)

3

2.

How many times do you visit a vertex while traveling along a Hamilton circuit or path?

a)

4

b)

0

c)

2

d)

1

3.

A block with two adjacent vertices of degree 3 and all

other vertices of degree 2 is called _____.

a)

Euler graph

b)

a theta graph

c)

Complete graph

d)

none of the above

4.

Which of the following statements about Eulerian graphs is true?

a)

Exactly two vertices have odd degree

b)

Exactly two vertices have even degree

c)

All vertices have even degree

d)

More than two vertices are of odd degree

5.

What kinds of graphs does Fleury's algorithm work for?

a)

Multiple graphs

b)

Hamiltonian graphs

c)

Pseudo graphs

d)

Eulerian graphs

6.

A digraph is called functional if every point has out-degree___

a)

four

b)

two

c)

three

d)

one

7.

The outdegree of vertex X is


a)

1

b)

2

c)

4

d)

3

8.

A digraph is said to be strongly connected if

a)

underlying graph is disconnected

b)

underlying graph is connected

c)

foe every pair of points atleast one point is reachable from other

d)

Every pair of points are mutually reachable

9.

The score of a point in a tournament is its

a)

indegree

b)

outdegree

c)

points

d)

vertices

10.

The degree pair of vertex c is

a)

(1,2)

b)

(2,1)

c)

(1,3)

d)

(3,1)