Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 4, Problem 26R

Explanation of Solution

Given:

It is given that the nlogn is Ω(n)

Big-Omega notation:

In asymptotic notation for lower bound, let “f” and “g” be functions from the integers or the real numbers to the real numbers. It means that Ω(g(n)) = f(n) if there exist positive constants “c(c>0) in real numbers, such that 0 cg(n)  f(n) for all n  n0.

Proof:

Let us assume that f(n) = n and g(n) = Ω(n)

  • According to big-omega definition, f(n)

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Data Structures and Algorithms in Java

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