GATE Exam  >  GATE Questions  >  Which of the following statement is false?a)T... Start Learning for Free
Which of the following statement is false?
  • a)
    There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).
  • b)
    There exist undirected graphs on which BFS traversal takes time θ(|v|).
  • c)
    We can compute the strongly connected components of a DAG in time O(|v|).
  • d)
    Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statement is false?a)There exists a function f(...
(a)f(n)=n^2 logn(true)
(b) If the graph has no edges (True)
(c) In a DAG the strongly-connected components consist of single nodes. To compute them just
scan the array of nodes. (True)
(d) They form a tree but the nodes in this tree are only those nodes reachable by a path from ‘s’and there may be strictly less than ‘n’ such nodes, therefore the tree may have strictly less
than (n – 1) edges. (False)
View all questions of this test
Explore Courses for GATE exam
Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer?
Question Description
Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following statement is false?a)There exists a function f(n) such that f(n) is Ω(n2) and is O(n3) but is neither θ(n2) nor θ(n3).b)There exist undirected graphs on which BFS traversal takes time θ(|v|).c)We can compute the strongly connected components of a DAG in time O(|v|).d)Let G be a digraph with ‘n’ nodes and ‘s’ one of its nodes. The discovery edges found by DFS starting from ‘s’ always form a tree with (n – 1) edges.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev