A Super Permutation Algorithm

Authors

  • Arogya Dahal Independent Researcher
  • Kalyan Khatiwada Independent Researcher
  • Siddhartha Gautam Independent Researcher

Keywords:

Super Permutation, Algorithm, Mathematics

Abstract

We present an algorithm that finds 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.

References

Robin Houston. “Tackling the minimal superpermutation problem.” arXiv:1408.5108, 2014

Gilbert Laporte and Silvano Martello. “The selective travelling salesman problem.” “Discrete applied mathematics”: pp. 193–207, 1990.

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.

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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Published

2021-12-31

How to Cite

[1]
A. Dahal, K. Khatiwada, and S. Gautam, “A Super Permutation Algorithm”, Int. J. Sci. Res. Comp. Sci. Eng., vol. 9, no. 6, pp. 82–84, Dec. 2021.

Issue

Section

Research Article

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