Practice Terminologies related to Undirected Graphs - 24.1.4 | 24. Graph Theory Basics | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a vertex in the context of a graph.

💡 Hint: Think of it as the 'dots' on a diagram.

Question 2

Easy

What does it mean for two vertices to be adjacent?

💡 Hint: Look for direct 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 defines a complete graph?

  • A graph with no edges.
  • A graph where each pair of vertices is connected.
  • A graph with only even degree vertices.

💡 Hint: Think about connections between nodes.

Question 2

True or False: An undirected graph can have an odd number of vertices of odd degree.

  • True
  • False

💡 Hint: Consider how edges contribute to vertex degrees.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a bipartite graph with 6 vertices, where 3 belong to one set and 3 to another. Ensure all vertices are connected.

💡 Hint: Visualize how each group can only connect to the other group.

Question 2

Demonstrate the handshaking theorem with a graph of your choice. Provide the degree of each vertex and verify the theorem.

💡 Hint: List out the edges and their contributions to each vertex.

Challenge and get performance evaluation