Data Structures Algorithms-II MCQs

Page No. 66

Prim’s algorithm is a ______


a Divide and conquer algorithm


bGreedy algorithm


cDynamic Programming


dApproximation algorithm


View Answer Greedy algorithm

Worst case is the worst case time complexity of Prim’s algorithm if adjacency matrix is used?


aO(log V)


bO(V2)


c O(E2)


dO(V log E)


View Answer O(V2)

Consider the given graph.


a 23


b28


c 27


d11


View Answer 27

Which of the following is true?


aPrim’s algorithm initialises with a vertex


b Prim’s algorithm initialises with a edge


c Prim’s algorithm initialises with a vertex which has smallest edge


dPrim’s algorithm initialises with a forest



Dijkstra’s Algorithm is the prime example for ___________


aGreedy algorithm


bBranch and bound


cBack tracking


dDynamic programming


View Answer Greedy algorithm

In the given graph, identify the shortest path having minimum cost to reach vertex E if A is the source vertex.


aa-b-e


ba-c-e


c a-c-d-e


d a-c-d-b-e


View Answer a-c-e

Consider the following graph.


a 8


b 9


c 4


d6


View Answer 6

Given pseudo code of Dijkstra’s Algorithm.


aWhile loop gets executed for v times


bWhile loop gets executed for v-1 times


cWhile loop gets executed only once


dWhile loop does not get executed



Dijkstra’s Algorithm run on a weighted, directed graph G={V,E} with non-negative weight function w and source s, terminates with d[u]=delta(s,u) for all vertices u in V.


a True


b False


cA & B


dNone of these


View Answer True

The running time of Bellmann Ford algorithm is lower than that of Dijkstra’s Algorithm.


aTrue


bFalse


cA & B


dNone of these


View Answer False

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