Explore topic-wise MCQs in Discrete Mathematics.

This section includes 8 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.

The number of edges in a regular graph of degree 46 and 8 vertices is ____________

A. 347
B. 230
C. 184
D. 186
Answer» D. 186
2.

If G is the forest with 54 vertices and 17 connected components, G has _______ total number of edges.

A. 38
B. 37
C. 17/54
D. 17/53
Answer» C. 17/54
3.

In a ______ the vertex set and the edge set are finite sets.

A. finite graph
B. bipartite graph
C. infinite graph
D. connected graph
Answer» C. infinite graph
4.

A ______ is a graph which has the same number of edges as its complement must have number of vertices congruent to 4m or 4m modulo 4(for integral values of number of edges).

A. Subgraph
B. Hamiltonian graph
C. Euler graph
D. Self complementary graph
Answer» E.
5.

Berge graph is similar to ______ due to strong perfect graph theorem.

A. line graph
B. perfect graph
C. bar graph
D. triangle free graph
Answer» C. bar graph
6.

Triangle free graphs have the property of clique number is __________

A. less than 2
B. equal to 2
C. greater than 3
D. more than 10
Answer» E.
7.

If each and every vertex in G has degree at most 23 then G can have a vertex colouring of __________

A. 24
B. 23
C. 176
D. 54
Answer» B. 23
8.

In a 7-node directed cyclic graph, the number of Hamiltonian cycle is to be ______

A. 728
B. 450
C. 360
D. 260
Answer» D. 260