Research Article

Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory

Volume: Vol: 7 Number: Issue: 1 June 6, 2022
EN TR

Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory

Abstract

The maximum independent set problem is an NP-complete problem in graph theory. The Karci Algorithm is based on fundamental cut-sets of given graph, and node with minimum independence values are selected for maximum independent set. In this study, the analytical verification of this algorithm for some special graphs was analysed, and the obtained results were explained. The verification of Karci’s Algorithm for maximum independent set was handled in partial.

Keywords

References

  1. Karci, A.,”New Algorithms for Minimum Dominating Set in Any Graphs”, Anatolian Science, Journal of Computer Science, Vol:5, Issue:2, pp:62-70, 2020a.
  2. Karci, A.,” Finding Innovative and Efficient Solutions to NP-Hard and NP-Complete Problems in Graph Theory”, Anatolian Science, Journal of Computer Science, Vol:5, Issue:2, pp:137-143, 2020b.
  3. Karci, A.,” Efficient Algorithms for Determining the Maximum Independent Sets in Graphs”, Anatolian Science, Journal of Computer Science, Vol:5, Issue:2, pp:144-149, 2020c.
  4. Karci, A., Karci, Ş.,”Determination of Effective Nodes in Graphs”, International Conference on Science, Engineering & Technology, Mecca, Saudi Arabia, pp:25-28, 2020.
  5. Karci, Ş., Ari, A., Karci, A.,” Pençesiz çizgelerde maksimum-yakın bağımsız küme ve üst sınırları için yeni algoritma”, Journal of the Faculty of Engineering and Architecture of Gazi University (accepted).
  6. Baraji, S., Swaminathan, V., Kannan, K.,”A simple algorithm to optimize maximum independent set”, Advanced Modeling and Optimization, vol:12, Issue:1, pp:107-118, 2010.
  7. Brandstadt, A., Mosca, R., “Maximum weight independent set for Lclaw-free graphs in polynomial time”, Discrete Applied Mathematics, Vol:237, pp:57-64, 2018.
  8. Lin, M.-S.,”Counting independent sets and maximal independent sets in some subclasses of bipartite graphs”, Discrete Applied Mathematics, Vol:251, pp:236-244, 2018a.

Details

Primary Language

English

Subjects

Software Testing, Verification and Validation

Journal Section

Research Article

Publication Date

June 6, 2022

Submission Date

March 19, 2022

Acceptance Date

April 27, 2022

Published in Issue

Year 2022 Volume: Vol: 7 Number: Issue: 1

APA
Karci, A. (2022). Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory. Computer Science, Vol: 7(Issue: 1), 20-28. https://doi.org/10.53070/bbd.1090368
AMA
1.Karci A. Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory. JCS. 2022;Vol: 7(Issue: 1):20-28. doi:10.53070/bbd.1090368
Chicago
Karci, Ali. 2022. “Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory”. Computer Science Vol: 7 (Issue: 1): 20-28. https://doi.org/10.53070/bbd.1090368.
EndNote
Karci A (June 1, 2022) Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory. Computer Science Vol: 7 Issue: 1 20–28.
IEEE
[1]A. Karci, “Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory”, JCS, vol. Vol: 7, no. Issue: 1, pp. 20–28, June 2022, doi: 10.53070/bbd.1090368.
ISNAD
Karci, Ali. “Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory”. Computer Science VOL: 7/Issue: 1 (June 1, 2022): 20-28. https://doi.org/10.53070/bbd.1090368.
JAMA
1.Karci A. Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory. JCS. 2022;Vol: 7:20–28.
MLA
Karci, Ali. “Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory”. Computer Science, vol. Vol: 7, no. Issue: 1, June 2022, pp. 20-28, doi:10.53070/bbd.1090368.
Vancouver
1.Ali Karci. Verification of Karci Algorithm’s Efficiency for Maximum Independent Set Problem in Graph Theory. JCS. 2022 Jun. 1;Vol: 7(Issue: 1):20-8. doi:10.53070/bbd.1090368

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