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This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Data Structures and Algorithms knowledge and support exam preparation. Choose a topic below to get started.
1. |
Minimum cut algorithm comes along with the maximum flow problem. |
A. | true |
B. | false |
Answer» B. false | |
2. |
What is the running time of Karger's algorithm to find the minimum cut in a graph? |
A. | O(E) |
B. | O(|V|2) |
C. | O(V) |
D. | O(|E|) |
Answer» C. O(V) | |
3. |
_____________ is a family of combinatorial optimization problems in which a graph is partitioned into two or more parts with constraints. |
A. | numerical problems |
B. | graph partition |
C. | network problems |
D. | combinatorial problems |
Answer» C. network problems | |
4. |
What is the minimum number of cuts that a graph with 'n' vertices can have? |
A. | n+1 |
B. | n(n-1) |
C. | n(n+1)/2 |
D. | n(n-1)/2 |
Answer» D. n(n-1)/2 | |
5. |
In how many ways can a Gomory-Hu tree be implemented? |
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Answer» C. 3 | |
6. |
Which algorithm is used to solve a minimum cut algorithm? |
A. | Gale-Shapley algorithm |
B. | Ford-Fulkerson algorithm |
C. | Stoer-Wagner algorithm |
D. | Prim's algorithm |
Answer» D. Prim's algorithm | |
7. |
The weight of the cut is not equal to the maximum flow in a network. |
A. | true |
B. | false |
Answer» C. | |
8. |
Which one of the following is not an application of max-flow min-cut algorithm? |
A. | network reliability |
B. | closest pair |
C. | network connectivity |
D. | bipartite matching |
Answer» C. network connectivity | |
9. |
What is the running time of implementing a min-cut algorithm using bidirected edges in a graph? |
A. | O(N) |
B. | O(N log N) |
C. | O(N4) |
D. | O(N2) |
Answer» D. O(N2) | |
10. |
___________ is a partition of the vertices of a graph in two disjoint subsets that are joined by atleast one edge. |
A. | Minimum cut |
B. | Maximum flow |
C. | Maximum cut |
D. | Graph cut |
Answer» B. Maximum flow | |
11. |
______________ separates a particular pair of vertices in a graph. |
A. | line |
B. | arc |
C. | cut |
D. | flow |
Answer» D. flow | |
12. |
__________ is a data structure used to collect a system of cuts for solving min-cut problem. |
A. | Gomory-Hu tree |
B. | Gomory-Hu graph |
C. | Dancing tree |
D. | AA tree |
Answer» B. Gomory-Hu graph | |
13. |
The running time of implementing naïve solution to min-cut problem is? |
A. | O(N) |
B. | O(N log N) |
C. | O(log N) |
D. | O(N2) |
Answer» E. | |