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A Super Permutation Algorithm

Arogya Dahal1 , Kalyan Khatiwada2 , Siddhartha Gautam3

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.6 , pp.82-84, Dec-2021


Online published on Dec 31, 2021


Copyright © Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam, “A Super Permutation Algorithm,” International Journal of Scientific Research in Computer Science and Engineering, Vol.9, Issue.6, pp.82-84, 2021.

MLA Style Citation: Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam "A Super Permutation Algorithm." International Journal of Scientific Research in Computer Science and Engineering 9.6 (2021): 82-84.

APA Style Citation: Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam, (2021). A Super Permutation Algorithm. International Journal of Scientific Research in Computer Science and Engineering, 9(6), 82-84.

BibTex Style Citation:
@article{Dahal_2021,
author = {Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam},
title = {A Super Permutation Algorithm},
journal = {International Journal of Scientific Research in Computer Science and Engineering},
issue_date = {12 2021},
volume = {9},
Issue = {6},
month = {12},
year = {2021},
issn = {2347-2693},
pages = {82-84},
url = {https://www.isroset.org/journal/IJSRCSE/full_paper_view.php?paper_id=2610},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRCSE/full_paper_view.php?paper_id=2610
TI - A Super Permutation Algorithm
T2 - International Journal of Scientific Research in Computer Science and Engineering
AU - Arogya Dahal, Kalyan Khatiwada, Siddhartha Gautam
PY - 2021
DA - 2021/12/31
PB - IJCSE, Indore, INDIA
SP - 82-84
IS - 6
VL - 9
SN - 2347-2693
ER -

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Abstract :
We present an algorithm that ?nds a string that contains every permutation of n symbols as a contiguous sub string, also called super permutation, from a given starting permutation. The algorithm is simple and can be implemented for any element, as the algorithm is independent of the representation of n. The algorithm also produces shortest super permutation for n smaller than 6.

Key-Words / Index Term :
Super Permutation; Algorithm; Mathematics

References :
[1] Robin Houston. “Tackling the minimal superpermutation problem.” arXiv:1408.5108, 2014
[2] Gilbert Laporte and Silvano Martello. “The selective travelling salesman problem.” “Discrete applied mathematics”: pp. 193–207, 1990.
[3] Desmond Lobo, Kalpita Wagaskar, Sarang Gawane, Clifford Fernandes, "Hybrid Quantum - Classical AI based approach to solve the Traveling Tournament Problem", International Journal of Computer Sciences and Engineering, Vol.9, Issue.6, pp.83-90, 2021.
[4] S. Suriya, M. Rahul Kumar, "Solving Travelling Salesman Problem using an Enhanced Ant Colony Algorithm", International Journal of Computer Sciences and Engineering, Vol.7, Issue.7, pp.214-222, 2019.

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