Practice Cartesian Product of Graphs - 4.5.1 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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4.5.1 - Cartesian Product of Graphs

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define vertex connectivity in a graph.

💡 Hint: Think of how many points need removal to break connection.

Question 2

Easy

What does the edge connectivity of a graph signify?

💡 Hint: What breaks connections between nodes?

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 the vertex connectivity used for?

  • To determine edge strength
  • To determine resilience against vertex removal
  • To count the number of edges

💡 Hint: Think about how you would disconnect a graph.

Question 2

True or False: The Cartesian product of graphs only applies to simple graphs.

  • True
  • False

💡 Hint: Recall the definitions of simple graphs.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given graphs G1 with vertex set {A, B} and edges {AB} and G2 with vertex set {1, 2} and edges {12}, describe the resulting Cartesian product and determine its connectivity characteristics.

💡 Hint: Evaluate how edges define connections when their components share values.

Question 2

Suppose graph G1 has a vertex set of 4 vertices with a complete edge set and graph G2 has 3 disconnected vertices. Discuss the structural outcome of their Cartesian product.

💡 Hint: Assess how each graph’s structure affects the new graph's edges.

Challenge and get performance evaluation