Practice Set Theoretic Operations on Graphs - 1.5 | 27. Various Operations on Graphs | 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 subgraph.

💡 Hint: Think about how a subgraph relates to a larger graph.

Question 2

Easy

What distinguishes a proper subgraph from a general subgraph?

💡 Hint: Comparison helps here: think of identical vs non-identical.

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 is a proper subgraph?

  • A subgraph that includes all edges and vertices of the original graph
  • A subgraph that is not identical to the original graph
  • A graph with fewer vertices than edges

💡 Hint: It's about comparison; think non-identity.

Question 2

True or False: Removing an edge from a graph also removes the connected vertices.

  • True
  • False

💡 Hint: Consider the independence of edges versus vertices.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices A, B, C, and edges AB, AC, BC. If edges AB and AC are removed, describe the resulting graph with vertex C remaining.

💡 Hint: Focus on the connections surrounding the vertex in question.

Question 2

Create an example of a proper subgraph from a larger graph while ensuring none of its vertices or edges match the original graph.

💡 Hint: Think of combining elements without overlapping fully.

Challenge and get performance evaluation