a) T(n)= 4T(n/4) + 12 nº b) T(n)= T(n/2) + log n c) T(n)= 2 T(n/2) + 57 n³ d) T(n)= 3 T(n/2) + O(n)

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Apply Master Theorem to bound each one of the following recurrence relations using Big-O notation. Please show work in depth. In all cases T(n)=1.

 

a) T(n)= 4T(n/4) + 12 nº
b) T(n)= T(n/2) + log
c) T(n)= 2 T(n/2) + 57 n3
d) T(n)= 3 T(n/2) + O(n)
Transcribed Image Text:a) T(n)= 4T(n/4) + 12 nº b) T(n)= T(n/2) + log c) T(n)= 2 T(n/2) + 57 n3 d) T(n)= 3 T(n/2) + O(n)
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