Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers-Reference-Cited by-同舟云学术

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Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers

Published:2019-06-01 Issue:2 Volume:27 Page:109-120
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Öteleş Ahmet¹

Affiliation:

1. Department of Mathematics, Faculty of Education , Dicle University , 21280 Diyarbakir , Turkey .

Abstract

Abstract In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers. Then we give some Maple procedures in order to calculate the numbers of perfect matchings of these bipartite graphs.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0022

Reference26 articles.

1. [1] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.10.1002/9781118033067

2. [2] T. Koshy, Fibonacci, Lucas, and Pell numbers, and Pascal’s triangle, Math. Spectrum, 43(3) (2011), 125-132.

3. [3] A.F. Horadam, Jacobstal and Pell Curves, Fibonacci Quart., 26 (1988), 79-83.

4. [4] The OEIS Foundation Inc., The On-Line Encyclopedia of Integer Sequences, https://oeis.or, 2013.

5. [5] P. Catarino, H. Campos, P. Vasco, On the Mersenne sequence, Annales Mathematicae et Informaticae, 46 (2016), 37-53.

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