Practice Incidence Matrix (29.2.4) - Introduction to Tutorial 8 - Discrete Mathematics

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6 sample questions

Question 1.
What is an incidence matrix?
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Think about the structure that represents connections.
Question 2.
Define a graph complement.
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Invert the edges!
3Question 3.
What does an incidence matrix represent?
- Edges only
- Vertices only
- Relationships between vertices and edges
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Think of it as a bridge between vertices and edges.
4Question 4.
True or False: Every complete graph has an incidence matrix which is fully populated.
- True
- False
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Consider how many vertices can connect.
Question 5.
A complete bipartite graph K(3,3) has what kind of incidence matrix?
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Sketch the bipartite graph first.
Question 6.
Show that if G has 5 vertices and is connected, the graph’s complement G’ has how many edges?
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Consider the total edges possible in a complete graph first.

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