| 81. | What are the dimensions of an incidence matrix? |
| a. | Number of edges*number of edges |
| b. | Number of edges*number of vertices |
| c. | Number of vertices*number of vertices |
| d. | None of the mentioned statements |
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Answer: (b).Number of edges*number of vertices
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| 82. | The column sum in an incidence matrix for a directed graph having no self loop is __________ |
| a. | 0 |
| b. | 1 |
| c. | 2 |
| d. | equal to the number of edges |
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Answer: (a).0
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| 83. | Time complexity to check if an edge exists between two vertices would be ___________ |
| a. | O(V*V) |
| b. | O(V+E) |
| c. | O(1) |
| d. | O(E) |
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Answer: (d).O(E)
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| 84. | The graphs G1 and G2 with their incidences matrices given are Isomorphic. e1 e2 e3 e4 e5 e6 v1 1 0 0 0 0 0 v2 1 1 0 0 0 1 v3 0 1 1 0 1 0 v4 0 0 1 1 0 0 v5 0 0 0 1 1 1 e1 e2 e3 e4 e5 e6 v1 0 0 1 0 0 0 v2 1 0 1 0 1 0 v3 1 1 0 1 0 0 v4 0 1 0 0 0 1 v5 0 0 0 1 1 1 |
| a. | True |
| b. | False |
| c. | May be |
| d. | Can't say |
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Answer: (a).True
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| 85. | If a connected Graph (G) contains n vertices what would be the rank of its incidence matrix? |
| a. | n-1 |
| b. | values greater than n are possible |
| c. | values less than n-1 are possible |
| d. | insufficient Information is given |
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Answer: (a).n-1
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| 86. | A Graph Structured Stack is a _____________ |
| a. | Undirected Graph |
| b. | Directed Graph |
| c. | Directed Acyclic Graph |
| d. | Regular Graph |
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Answer: (c).Directed Acyclic Graph
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| 87. | If a Graph Structured Stack contains {1,2,3,4} {1,5,3,4} {1,6,7,4} and {8,9,7,4}, what would be the source and sink vertices of the DAC? |
| a. | Source – 1, 8 Sink – 7,4 |
| b. | Source – 1 Sink – 8,4 |
| c. | Source – 1, 8 Sink – 4 |
| d. | None of the Mentioned |
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Answer: (c).Source – 1, 8 Sink – 4
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| 88. | Graph Structured Stack finds its application in _____________ |
| a. | Bogo Sort |
| b. | Tomita’s Algorithm |
| c. | Todd–Coxeter algorithm |
| d. | All of the mentioned |
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Answer: (b).Tomita’s Algorithm
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| 89. | If in a DAG N sink vertices and M source vertices exists, then the number of possible stacks in the Graph Structured Stack representation would come out to be N*M. |
| a. | True |
| b. | False |
| c. | May be |
| d. | Can't say |
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Answer: (b).False
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| 90. | Space complexity for an adjacency list of an undirected graph having large values of V (vertices) and E (edges) is ___________ |
| a. | O(E) |
| b. | O(V*V) |
| c. | O(E+V) |
| d. | O(V) |
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Answer: (c).O(E+V)
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