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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the Cartesian product of two graphs.
💡 Hint: Think about ordered pairs and pairs of vertices.
Question 2
Easy
What is the degree of a vertex?
💡 Hint: Count the 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 is the degree of vertex (u,v) in the Cartesian product?
- deg(u) + deg(v)
- deg(u) * deg(v)
- deg(u) - deg(v)
💡 Hint: Think about how the degrees interact together.
Question 2
If a graph G has no edges, what is the degree of all vertices?
- True
- False
💡 Hint: Remember degrees count edges!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider two graphs A and B where A has 3 vertices with degrees [0, 1, 2] and B has 3 vertices with degrees [1, 1, 1]. Calculate the degrees in the Cartesian Product.
💡 Hint: Assess every pair in the product using the summed degrees.
Question 2
Given two graphs C and D, where C has a vertex of degree 4 and D with a vertex of degree 0, discuss the implications on the product graph's connectivity.
💡 Hint: Consider how degree zero affects the overall performance in connectivity.
Challenge and get performance evaluation