Algorithms · Asymptotic Analysis
Official IIT answer key · IIT Madras · Audited Aug 2026
GATE CSE 2011 Q37 · MCQ · 2 marks
Key concept
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Topic notes
Across GATE CS exam papers, asymptotic complexity is evaluated through rigorous mathematical analysis and algorithmic code inspection. Questions consistently focus on solving recurrence relations (using the Master Theorem, Akra-Bazzi, recursion trees, and variable substitution), ranking growth rates of non-trivial functions (including log-log, oscillating, and super-polynomial forms), and calculating the exact operation counts of nested loops and multi-step data structure operations. The evaluation spans both conceptual formal definitions (O, , , o, ) and practical application to standard algorithmic procedures.
Full Asymptotic Analysis guide →Which of the given options provides the increasing order of asymptotic complexity of functions f1, f2, f3 and f4 ? f1(n) = 2n f2(n) = n3/2 f3(n) = n 2 n f4(n) = n 2 n
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