Practice Question 2 - 4.3 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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4.3 - Question 2

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does deleting a vertex from a graph do?

💡 Hint: Think of how a tree branch would behave if you cut it.

Question 2

Easy

If a graph has a degree of 3 for vertex v1, how many edges are removed if v1 is deleted?

💡 Hint: The degree indicates the number of connections.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What happens to the total number of edges when a vertex is deleted?

  • It stays the same
  • It decreases by the degree of the vertex
  • It increases by the degree of the vertex

💡 Hint: Remember the rule of vertex deletion.

Question 2

True or False: The handshaking theorem states that the sum of degrees divided by two equals the cardinality of edges.

  • True
  • False

💡 Hint: Recall the fundamental principles of edge connections.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Suppose a graph has a total of 10 vertices. If removing each vertex results in 9, 8, 7, 6, 5, 4 edges respectively, predict the total edge count.

💡 Hint: Count how many edges were lost and anticipate the starting number.

Question 2

Given a graph of 5 vertices where three vertices have degrees of 2, 2, and 1 when others are removed, calculate its full edge set.

💡 Hint: Count up and think logically, relate back to handshaking principles.

Challenge and get performance evaluation