COMPUTER SCIENCE ILLUMIN.-TEXT
COMPUTER SCIENCE ILLUMIN.-TEXT
7th Edition
ISBN: 9781284156010
Author: Dale
Publisher: Jones & Barlett
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Chapter 18, Problem 54E

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Accessing the largest term in Big-O of a polynomial-time algorithm:

The polynomial-time algorithm is the algorithm in which the order of magnitude can be expressed as a polynomial in the size of the problem.

  • In the algorithm, if the term with largest exponent increases, it rapidly states that the relative size of the problem is dominant when compare to others.
  • The size of the problem and its complexity are represented with the help of a power.
    • The Big-O complexity has the highest power in the polynomial and it is considered more significant than other terms.

For example:

  • Consider the expression “f(N)=N3+ 50N2+ 10N + 25”.
  • In the above expression, f(N) is of order N3 in Big-O notation, O(N3).
    • This expression states that for large values of “N”, it dominates the whole function

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