Discrete Mathematics Questions and Answers – Graph

This section focuses on "Graph" in Discrete Mathematics. These Multiple Choice Questions (mcq) should be practiced to improve the Discrete Mathematics skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.

1. A graph is a set of points, called?

A. Nodes
B. Edge
C. fields
D. lines

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2. Graph consists of a?

A. non-empty set of vertices
B. empty set of vertices
C. Both A and B
D. None of the above

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3. Number of edges incident with the vertex V is called?

A. Degree of a Graph
B. Handshaking Lemma
C. Degree of a Vertex
D. None of the above

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4. Which of the following is true about Handshaking Lemma?

A. In Handshaking lemma, If the degree of a vertex is even, the vertex is called an even vertex
B. The degree of a graph is the largest vertex degree of that graph.
C. The degree of a vertex is odd, the vertex is called an odd vertex.
D. The sum of all the degrees of all the vertices is equal to twice the number of edges.

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5. What is Null Graph?

A. A null graph has no nodes
B. null graph has no edges
C. null graph has no odd vertex
D. null graph has no even vertex

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6. If in a graph multiple edges between the same set of vertices are allowed, it is called?

A. Hamiltonian Graphs
B. Simple graph
C. Multi graph
D. Euler Graphs

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7. The graph in which, there is a closed trail which includes every edge of the graph is known as?

A. Hamiltonian Graphs
B. Euler Graphs
C. Planar graph
D. Directed Graph

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

A. 180
B. 720
C. 360
D. 540

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

A. 35
B. 36
C. 37
D. 38

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10. Triangle free graphs have the property of clique number is __________

A. More than 10
B. less than 5
C. equal to 5
D. greater than 3

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