Q. In a binary tree, the number of terminal nodes (leaf nodes) are 10, then the numbers of nodes with two children are

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Q. If S(n,e) represents the maximum additional space taken by DFS for an n-vertex, e-edge graph,  then what is the value of S(n,e), if adjacency lists are used.

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Q. Breaking down a problem into several sub problems is known as…….

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Q. Alpha cutoff and Beta cutoff are combined to get………

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Q. A graph G is bi-connected if and only if ………..

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Q. The common vertex of two bi connected components is called …………

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Q. If two queens are placed at position (i, j) and (k,l). Then they are on the same Diagonal if and only if………

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Q. A node which has been generated and all of whose children have not yet been generated is…….

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Q. In the sum of subsets problem, if n=4, (w1, w2 w3, w4) = (11, 13, 24, 7) and m=31 then solutions are .........
(where 1 represents weight chosen and 0 represents weight is not choosen.)

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Q. Painting all the verticies of a graph with colors such that no two adjacent vertices have the same color is called………of the graph.

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Q. A sufficient condition for a simple graph G with n vertices have a Hamiltonian cycle is that the degree of every vertex in G is atleast……..

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Q. Choose the properties of the asymptotic notation given below:

1) Reflexivity & transpose symmetry
2) Asymmetry& reflexivity
3) Symmetry& transitivity
4) Symmetry& equity

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Q. The searching technique that takes O(1) time to find a data is

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Q. Which of the following sorting algorithms does not have a worst case running time of O(nlog n)?

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Q. An undirected graph G with n vertices and e edges is represented by adjacency list. What is  the time required to generate all the connected components?

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Q. The quick sort algorithm exploits……..design technique.

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Q. The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with n discs is

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Q. Which of the following statements are TRUE?

 (1) The problem of determining whether there exists a cycle in an undirected graph is in P.
 (2) The problem of determining whether there exists a cycle in an undirected graph is in NP.
 (3) If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.

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Q. The best case time complexity for a successful binary search is O(1). Similarly the best case time complexity for an unsuccessful binary search is…….

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Q. State the worst case time complexity for quick sort.

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