Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Journal of Applied C...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Journal of Applied Computer Science & Mathematics
Article . 2023 . Peer-reviewed
Data sources: Crossref
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
SSRN Electronic Journal
Article . 2024 . Peer-reviewed
Data sources: Crossref
versions View all 3 versions
addClaim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

Analyzing Time and Space Complexity: Kadane vs. Divide and Conquer Algorithms for Maximum Sub-array Problem

Authors: ISTIONO Wirawan;

Analyzing Time and Space Complexity: Kadane vs. Divide and Conquer Algorithms for Maximum Sub-array Problem

Abstract

The Kadane's Algorithm and Divide and Conquer algorithm share a commonality in their utilization, which is the ability to compute the maximum sum of a subarray within an array and determine which subarray holds that maximum sum. To accomplish this, it requires time to traverse the data one by one through its indices and depends on the length of the array. The longer the array, the longer it takes to traverse. Therefore, the objective of this research is to compare the performance of both algorithms in terms of how fast they traverse (Time Efficiency), sum the elements, determine the subarray that yields the maximum sum from the original array, and assess the amount of memory or space utilized by these algorithms (space complexity). By attempting several scenarios, where in the first scenario all values in the array sequence are positive, while in the second scenario, the array elements contain both positive and negative values, and in the third scenario, all values in the array sequence are negative, a comparison was made between the Kadane's algorithm and the Divide and Conquer algorithm. The conducted comparison revealed that Kadane's algorithm, in terms of time complexity, is faster than the Divide and Conquer algorithm, with an average speed of 7.04ms, and an average space complexity of 12.28.

Related Organizations
Keywords

kadane algorithm, Electronic computers. Computer science, QA1-939, divide and conquer, subarray, QA75.5-76.95, subarray addition, Mathematics

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    1
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold