Practice Terminologies Related To Undirected Graphs (24.1.4)

Practise this section

8 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define a vertex in the context of a graph.
Show hintHide hint
Think of it as the 'dots' on a diagram.
Question 2.
What does it mean for two vertices to be adjacent?
Show hintHide hint
Look for direct connections.
3Question 3.
What defines a complete graph?
- A graph with no edges.
- A graph where each pair of vertices is connected.
- A graph with only even degree vertices.
Show hintHide hint
Think about connections between nodes.
4Question 4.
True or False: An undirected graph can have an odd number of vertices of odd degree.
- True
- False
Show hintHide hint
Consider how edges contribute to vertex degrees.
Question 5.
Create a bipartite graph with 6 vertices, where 3 belong to one set and 3 to another. Ensure all vertices are connected.
Show hintHide hint
Visualize how each group can only connect to the other group.
Question 6.
Demonstrate the handshaking theorem with a graph of your choice. Provide the degree of each vertex and verify the theorem.
Show hintHide hint
List out the edges and their contributions to each vertex.

4 more questions in this section. Enroll free to practise them all.