Which asymptotic notation represents a tight bound on an algorithm’s growth rate?
Options
- A. Big-O
- B. Big-Ω
- C. Big-Θ
- D. More than one of the above
- E. None of the above
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Quiz Practice:
Correct Answer (Detailed Explanation is Below)
C. Big-Θ
Detailed Explanation
Big-Θ (Theta) represents a tight asymptotic bound. If an algorithm is Θ(N), its growth is bounded both above and below by constant multiples of N for sufficiently large N. Therefore, Θ gives more precise asymptotic information than O alone when both upper and lower bounds match. For example, a loop that always processes every element of an array has Θ(N) running time.