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3 cards from this section. Quick, good the night before a test.
What does the incidence matrix represent in a graph?
Think about how we depict connections in a graph.
What do you obtain when you multiply an incidence matrix by its transpose?
Consider how vertex connections change through multiplication.
What is the primary function of an incidence matrix in graph theory?
Remember what an incidence matrix specifically tracks.
The diagonal entries of the product of B and B^T represent what?
Consider what a vertex's degree signifies in graph theory.
Create a complete graph K4 and derive its incidence matrix and the product with its transpose.
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.
Draw the graph and note its edges before constructing the incidence matrix.
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