A COMPARATIVE ANALYSIS OF SORTING ALGORITHMS

Authors

  • Tuhtanazarov Dilmurod Solijonovich Author
  • Mahkamov Anvarjon Abdujabborovich Author
  • Mukhammadiev Alisher Numonkhon ug'li Author

Abstract

Abstract: Sorting is one of the most fundamental operations in computer science, forming the backbone of countless algorithms and data processing pipelines. This paper presents a rigorous comparative study of nine canonical sorting algorithms — Bubble Sort, Selection Sort, Insertion Sort, Merge Sort, Quick Sort, Heap Sort, Counting Sort, Radix Sort, and Tim Sort — evaluating their structural design, time and space complexity, stability, adaptive behavior, and real-world applicability. Four detailed comparison tables are provided to give practitioners a concise decision reference. Our analysis demonstrates that no single algorithm universally dominates; rather, optimal selection depends on dataset size, value distribution, memory constraints, and stability requirements.

References

[1] Knuth, D. E. (1998). The Art of Computer Programming, Volume 3: Sorting and Searching. Addison-Wesley.

[2] Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2009). Introduction to Algorithms (3rd ed.). MIT Press.

[3] Peters, T. (2002). Timsort. Python source documentation. CPython repository.

[4] Hoare, C. A. R. (1962). Quicksort. Computer Journal, 5(1), 10–16.

[5] Williams, J. W. J. (1964). Algorithm 232 — Heapsort. Communications of the ACM, 7(6), 347–348.

[6] Blelloch, G. E. (1996). Programming parallel algorithms. Communications of the ACM, 39(3), 85–97.

[7] Sedgewick, R., & Wayne, K. (2011). Algorithms (4th ed.). Addison-Wesley.

Published

2026-05-20

How to Cite

Tuhtanazarov Dilmurod Solijonovich, Mahkamov Anvarjon Abdujabborovich, & Mukhammadiev Alisher Numonkhon ug'li. (2026). A COMPARATIVE ANALYSIS OF SORTING ALGORITHMS. JOURNAL OF NEW CENTURY INNOVATIONS, 101(1), 221-227. https://journalss.org/index.php/new/article/view/30580