Open Access   Article Go Back

Special properties of Fibonacci Array Based on Dimension

N. Jansirani1 , V. Subharani2 , V. R. Dare3

Section:Research Paper, Product Type: Journal Paper
Volume-07 , Issue-05 , Page no. 10-15, Mar-2019

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v7si5.1015

Online published on Mar 10, 2019

Copyright © N. Jansirani, V. Subharani, V. R. Dare . 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.

View this paper at   Google Scholar | DPI Digital Library

XML View
PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: N. Jansirani, V. Subharani, V. R. Dare, “Special properties of Fibonacci Array Based on Dimension,” International Journal of Computer Sciences and Engineering, Vol.07, Issue.05, pp.10-15, 2019.

MLA Style Citation: N. Jansirani, V. Subharani, V. R. Dare "Special properties of Fibonacci Array Based on Dimension." International Journal of Computer Sciences and Engineering 07.05 (2019): 10-15.

APA Style Citation: N. Jansirani, V. Subharani, V. R. Dare, (2019). Special properties of Fibonacci Array Based on Dimension. International Journal of Computer Sciences and Engineering, 07(05), 10-15.

BibTex Style Citation:
@article{Jansirani_2019,
author = {N. Jansirani, V. Subharani, V. R. Dare},
title = {Special properties of Fibonacci Array Based on Dimension},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {3 2019},
volume = {07},
Issue = {05},
month = {3},
year = {2019},
issn = {2347-2693},
pages = {10-15},
url = {https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=796},
doi = {https://doi.org/10.26438/ijcse/v7i5.1015}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v7i5.1015}
UR - https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=796
TI - Special properties of Fibonacci Array Based on Dimension
T2 - International Journal of Computer Sciences and Engineering
AU - N. Jansirani, V. Subharani, V. R. Dare
PY - 2019
DA - 2019/03/10
PB - IJCSE, Indore, INDIA
SP - 10-15
IS - 05
VL - 07
SN - 2347-2693
ER -

           

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.

Key-Words / Index Term

Fibonacci array; Parikh Vectors; Secondary Transpose

References

[1] Alberto Apostolico, Valentin E, Brimkov, “Fibonacci arrays and their two dimensional repetitions”, Theoretical Computer Science, 237, 263-273, 2000.
[2] Aldo de LUCA, “A Combinatorial property of the Fibonacci words”, Ins. Di mat. Dell Uni. Di Napoli. Vol12, 4, 1981.
[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.