Practice - Question 3
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Practice Questions
Test your understanding with targeted questions
What does the incidence matrix represent in a graph?
💡 Hint: Think about how we depict connections in a graph.
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
Quick quizzes to reinforce your learning
What is the primary function of an incidence matrix in graph theory?
💡 Hint: Remember what an incidence matrix specifically tracks.
The diagonal entries of the product of B and B^T represent what?
💡 Hint: Consider what a vertex's degree signifies in graph theory.
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Challenge Problems
Push your limits with advanced challenges
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.
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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