Practice Discrete Mathematics (1) - Various Operations on Graphs - Discrete Mathematics

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6 sample questions

Question 1.
What defines a subgraph?
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Think of a mini-version of a graph.
Question 2.
Does a proper subgraph equal the original graph?
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Remember, proper means smaller.
3Question 3.
What constitutes a proper subgraph?
- A subgraph equal to G
- A subgraph smaller than G
- Any selected edges
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Think of size comparisons.
4Question 4.
True or False: Every subgraph is also an induced subgraph?
- True
- False
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Consider selective inclusion in induced subgraphs.
Question 5.
Given two graphs, G and H with the same number of vertices but differing numbers of edges, prove they cannot be isomorphic.
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Use the concept of edge mapping to illustrate this.
Question 6.
Construct a graph with at least one cut vertex and one cut edge, providing a clear identification of each and demonstrating their impact on connectivity upon their removal.
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Focus on the roles these points play together in your graph layout.

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