Comparison of Prim and Kruskal’s Algorithm

1
Rohit Maurya
Rohit Maurya
2
Rahul Sharma
Rahul Sharma
1 Ajeenkya D Y Patil University

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The goal of this research is to compare the performance of the common Prim and the Kruskal of the minimum spanning tree in building up super metric space. We suggested using complexity analysis and experimental methods to evaluate these two methods. After analysing daily sample data from the Shanghai and Shenzhen 300 indexes from the second half of 2005 to the second half of 2007, the results revealed that when the number of shares is less than 100, the Kruskal algorithm is relatively superior to the Prim algorithm in terms of space complexity; however, when the number of shares is greater than 100, the Prim algorithm is more superior in terms of time complexity. A spanning tree is defined in the glossary as a connected graph with non-negative weights on its edges, and the challenge is to identify a maz weight spanning tree. Surprisingly, the greedy algorithm yields an answer. For the problem of finding a min weight spanning tree, we propose greedy algorithms based on Prim and Kruskal, respectively. Graham and Hell provide a history of the issue, which began with Czekanowski’s work in 1909. The information presented here is based on Rosen.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Rohit Maurya. 2026. \u201cComparison of Prim and Kruskal’s Algorithm\u201d. Global Journal of Computer Science and Technology - C: Software & Data Engineering GJCST-C Volume 23 (GJCST Volume 23 Issue C1): .

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Comparison of Primal Kruskal's Algorithm for optimal graph spanning.
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GJCST Volume 23 Issue C1
Pg. 27- 33
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Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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GJCST-C Classification: FOR Code: 080201
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May 20, 2023

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English

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The goal of this research is to compare the performance of the common Prim and the Kruskal of the minimum spanning tree in building up super metric space. We suggested using complexity analysis and experimental methods to evaluate these two methods. After analysing daily sample data from the Shanghai and Shenzhen 300 indexes from the second half of 2005 to the second half of 2007, the results revealed that when the number of shares is less than 100, the Kruskal algorithm is relatively superior to the Prim algorithm in terms of space complexity; however, when the number of shares is greater than 100, the Prim algorithm is more superior in terms of time complexity. A spanning tree is defined in the glossary as a connected graph with non-negative weights on its edges, and the challenge is to identify a maz weight spanning tree. Surprisingly, the greedy algorithm yields an answer. For the problem of finding a min weight spanning tree, we propose greedy algorithms based on Prim and Kruskal, respectively. Graham and Hell provide a history of the issue, which began with Czekanowski’s work in 1909. The information presented here is based on Rosen.

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Comparison of Prim and Kruskal’s Algorithm

Rohit Maurya
Rohit Maurya Ajeenkya D Y Patil University
Rahul Sharma
Rahul Sharma

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