Number of Trees in a Graph MCQ Quiz - Objective Question with Answer for Number of Trees in a Graph - Download Free PDF

Last updated on Apr 12, 2025

Latest Number of Trees in a Graph MCQ Objective Questions

Number of Trees in a Graph Question 1:

The number of edges in a regular graph of degree D and N vertices is equal to:

  1. ND
  2. ND/2
  3. N + D
  4. ND

Answer (Detailed Solution Below)

Option 2 : ND/2

Number of Trees in a Graph Question 1 Detailed Solution

Concept:

Using the below result:

  

dmin = degree

E = number of edges 

V = number of vertices. 

Analysis:

dmin = D (since only one degree is given)

N = no. of vertices

E = no. of edges

D = 2E/N

E = ND/2

Top Number of Trees in a Graph MCQ Objective Questions

The number of edges in a regular graph of degree D and N vertices is equal to:

  1. ND
  2. ND/2
  3. N + D
  4. ND

Answer (Detailed Solution Below)

Option 2 : ND/2

Number of Trees in a Graph Question 2 Detailed Solution

Download Solution PDF

Concept:

Using the below result:

  

dmin = degree

E = number of edges 

V = number of vertices. 

Analysis:

dmin = D (since only one degree is given)

N = no. of vertices

E = no. of edges

D = 2E/N

E = ND/2

Number of Trees in a Graph Question 3:

The number of edges in a regular graph of degree D and N vertices is equal to:

  1. ND
  2. ND/2
  3. N + D
  4. ND

Answer (Detailed Solution Below)

Option 2 : ND/2

Number of Trees in a Graph Question 3 Detailed Solution

Concept:

Using the below result:

  

dmin = degree

E = number of edges 

V = number of vertices. 

Analysis:

dmin = D (since only one degree is given)

N = no. of vertices

E = no. of edges

D = 2E/N

E = ND/2

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