Discrete Mathematics | Week 7
Quiz
Link : Discrete Mathematics Week 7 (nptel.ac.in)
1. Which of the following graphs are not complete graphs?
2. What is the degree sequence of the given graph?
c. β¨4,4,3,3,3,5,2β©
3. What are the cut edge and the cut vertex respectively, in the following graph?
c. (π΅, πΈ) and πΈ
4. The number of components in a πΎn and πΆn respectively are?
d. 1,1
5. Which of the following is a graphic sequence?
a. 5,3,3,2,2,1
6. Which of the following is not a path from A to H?
a. {π΄ β π΅ β πΈ β πΉ β πΊ β π»}
d. {π΄ β πΉ β πΆ β π΅ β πΈ β π· β πΆ β π»}
f. {π΄ β π»}
7. If an edge is removed from a cycle in a graph, then the graph becomes disconnected.
State whether true/false.
b. False
8. For a simple graph with vertices, how many subgraphs can be constructed, such that the subgraph is an induced subgraph as well as a spanning subgraph?
a. 1
9. Observe the following graph.
Choose the correct option(s) from below.
a. {π· β πΈ β πΉ β πΊ β πΆ β π·} is a cycle
b. {π» β π΅ β π· β πΆ β πΊ β πΉ β π· β π΄} is a trail
e. {π΄ β π΅ β π· β πΆ β πΊ β πΉ β π· β π΄} is a circuit.
10. Which of the following statements is/are true?
I) If there is a walk from P to Q then, there must be a path from P to Q.
II) The number of edges in a tree is equal to one less than the number of vertices.
III) Every graph has an odd number of oddβdegree vertices.
d. I and II
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