Explore topic-wise MCQs in Discrete Mathematics.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the number of edges of the greatest planar subgraph of K3,2 where m,n 3?

A. 18
B. 6
C. 128
D. 702
Answer» C. 128
2.

Suppose G be a connected planar graph of order n 5 and size m. If the length of the smallest cycle in G is 5, then which of the following is true?

A. (m+n)<sup>4</sup>&gt;=mn
B. m 5/3(n 2)
C. (m<sup>2</sup>+n)/3
D. n&gt;=(6/5)(n+1)
Answer» C. (m<sup>2</sup>+n)/3
3.

If the number of vertices of a chromatic polynomial PG is 56, what is the degree of PG?

A. 344
B. 73
C. 265
D. 56
Answer» E.
4.

If Cn is the nth cyclic graph, where n&gt;3 and n is odd. Determine the value of X(Cn).

A. 32572
B. 16631
C. 3
D. 310
Answer» D. 310
5.

If a graph G is k-colorable and k&lt;n, for any integer n then it is ___________

A. n-colorable
B. n<sup>2</sup> nodes
C. (k+n)-colorable
D. (k<sup>3</sup>+n<sup>3</sup>+1) nodes
Answer» B. n<sup>2</sup> nodes