Practice Introduction To Tutorial 8 (29.1.1)

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9 questions

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6 sample questions

Question 1.
Define a Ramsey number.
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Think about friendships among a group.
Question 2.
What is an articulation point in a graph?
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Imagine removing a friend from a friend circle.
3Question 3.
What is R(3, 3)?
- Guarantees 3 friends
- Guarantees 3 enemies
- Both
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Think about group dynamics!
4Question 4.
True or False: A tree with 5 nodes has 6 edges.
- True
- False
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Remember the formula for trees.
Question 5.
Create a graph with 10 nodes where every vertex is connected to exactly 4 others. Is it a tree, and if not, why?
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Recall that trees must follow specific edge-node relationships.
Question 6.
If a graph is self-complementary with 12 vertices, prove it must have 4k or 4k+1 vertices.
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Think about how edges are distributed between complementary graphs.

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