CSE3037

Vellore Institute Of Technology, Chennai

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Class notes CSE3037
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6

november 2024

2024/2025
The Master Theorem is a fundamental tool in the analysis of divide-and-conquer algorithms. It provides a way to determine the time complexity of recurrence relations of the form T ( n ) = a T ( n / b ) + f ( n ) T(n)=aT(n/b)+f(n), where a a is the number of subproblems, n / b n/b is the size of each subproblem, and f ( n ) f(n) is the cost of dividing and combining. The theorem compares f ( n ) f(n) with n log ⁡ b a n log b a : if f ...
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