Practice Question 3 - 29.1.4 | 29. Introduction to Tutorial 8 | Discrete Mathematics - Vol 2
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29.1.4 - Question 3

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the incidence matrix represent in a graph?

💡 Hint: Think about how we depict connections in a graph.

Question 2

Easy

What do you obtain when you multiply an incidence matrix by its transpose?

💡 Hint: Consider how vertex connections change through multiplication.

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Interactive Quizzes

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

Question 1

What is the primary function of an incidence matrix in graph theory?

  • To represent vertices only
  • To show connections between vertices and edges
  • To compute the degree of a vertex

💡 Hint: Remember what an incidence matrix specifically tracks.

Question 2

The diagonal entries of the product of B and B^T represent what?

  • Sinuses
  • The lengths of edges
  • The degree of each vertex

💡 Hint: Consider what a vertex's degree signifies in graph theory.

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Challenge Problems

Push your limits with challenges.

Question 1

Create a complete graph K4 and derive its incidence matrix and the product with its transpose.

💡 Hint: Remember that K4 will have edges connecting every vertex to every other vertex.

Question 2

Given a graph structure with 5 vertices and 4 edges, provide potential incidence matrices and calculate their products.

💡 Hint: Draw the graph and note its edges before constructing the incidence matrix.

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