T(n) = nT(n/2) +0(1) T(n) = 3T(n/3) + n T(n) = 8T(n/2) + n° %3D

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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T(n) = nT(n/2) +0(1)
T(n) = 3T(n/3) +n
T(n) = 8T(n/2) +n³
Transcribed Image Text:T(n) = nT(n/2) +0(1) T(n) = 3T(n/3) +n T(n) = 8T(n/2) +n³
Master Theorem: If T(n) = aT()+0(n") for some constant a > 0, b > 1, and d > 0, then:
T(n) = 0(n")
T(n) = 0(nd log n)
if d> log, a
if d = log, a
T(n) = O(nlo5, a)
if d< log, a
%3!
Transcribed Image Text:Master Theorem: If T(n) = aT()+0(n") for some constant a > 0, b > 1, and d > 0, then: T(n) = 0(n") T(n) = 0(nd log n) if d> log, a if d = log, a T(n) = O(nlo5, a) if d< log, a %3!
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