Skip to content
Related Articles

Related Articles

Improve Article
Save Article
Like Article

Data Structures | Graph | Question 9

  • Difficulty Level : Easy
  • Last Updated : 28 Jun, 2021

Which of the following statements is/are TRUE for an undirected graph?
P: Number of odd degree vertices is even
Q: Sum of degrees of all vertices is even
(A) P Only
(B) Q Only
(C) Both P and Q
(D) Neither P nor Q


Answer: (C)

Explanation: P is true for undirected graph as adding an edge always increases degree of two vertices by 1.

Q is true: If we consider sum of degrees and subtract all even degrees, we get an even number because every edge increases the sum of degrees by 2. So total number of odd degree vertices must be even.

Quiz of this Question

My Personal Notes arrow_drop_up
Recommended Articles
Page :