Special properties of Fibonacci Array Based on Dimension

Authors

  • Jansirani N Department of Mathematics, Queen Mary’s College, Chennai-
  • Subharani V Department of Mathematics, Queen Mary’s College, Chennai-04
  • Dare VR Department of Mathematics, Madras Christian College, Chennai-59

Keywords:

Fibonacci array, Parikh Vectors, Secondary Transpose

Abstract

In this paper the Fibonacci array based on the dimension are defined and analysed. The bordered width of the Fibonacci array is a Fibonacci number is shown. The concept of secondary transformation, linear tandem, diagonal tandem of an array are introduced. The combinatorial properties of the sub arrays are investigated. The Fibonacci array based on tree is represented and also Parikh vector concepts are discussed

References

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[3] Anna lee., “Secondary symmetric secondary skew symmetric secondary orthogonal matrices”, period. math, Hungary, vol.7, 63-70, 1976.

[4] N. Jansirani , V. Rajkumar Dare and K.G. Subramanian, “Sturmian Arrays”, Advances in Image Analysis and Applications, (Chapter 9) Research Publishing, Printed in Singapore ISBN-13:978-08-7923-5, ISBN-10:381-08-7923-7, May 2011.

[5] N. Jansirani and V. Rajkumar Dare, “Special Properties of Fibonacci Array”, Mathematical Sciences International Research Journal , 560–569, 2012.

[6] Lothaire M, “Combinatorics on words”, Addison Wesley Publishing Company, 1983.

[7] Mahalingam K, Sivasankar M, Krithivasan K, “Palindromic properties of two- dimensional Fibonacci words”, Romanian Journal of information science and technology.

[8] Wen Chean Teh, “On Core Words and the Parikh Matrix Mapping”, International Journal of Foundations of Computer Science,vol-26,No-1,123-142,2015.

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Published

2025-11-25

How to Cite

[1]
N. Jansirani, V. Subharani, and V. Dare, “Special properties of Fibonacci Array Based on Dimension”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 10–15, Nov. 2025.

Issue

Vol. 7 No. 5 (2019): IJCSE Special Issue Mar Edition

Section

Research Article

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