## Data Structure MCQ - Graph

This section focuses on the "Graph" of the Data Structure. These Multiple Choice Questions (mcq) should be practiced to improve the Data Structure skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

1. Which of the following statements for a simple graph is correct?

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2. What is the maximum number of possible non zero values in an adjacency matrix of a simple graph with n vertices?

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3. Which of the following is an advantage of adjacency list representation over adjacency matrix representation of a graph?

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4.A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

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5.On which of the following statements does the time complexity of checking if an edge exists between two particular vertices is not, depends?

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6. The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order. Which of the following sequences can not be the degree sequence of any graph?

I. 7, 6, 5, 4, 4, 3, 2, 1

II. 6, 6, 6, 6, 3, 3, 2, 2

III. 7, 6, 6, 4, 4, 3, 2, 2

IV. 8, 7, 7, 6, 4, 2, 1, 1

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7. What is the maximum number of edges in a bipartite graph having 10 vertices?

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8. Possible number of labelled simple Directed, Pseudo and Multigarphs exist having 2 vertices?

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9.The most efficient algorithm for finding the number of connected components in an undirected graph on n vertices and m edges has time complexity.

(A) \theta(n)

(B) \theta(m)

(C) \theta(m + n)

(D) \theta(mn)

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10. What is time complexity to check if a string(length S1) is a substring of another string(length S2) stored in a Directed Acyclic Word Graph, given S2 is greater than S1?

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