Results 91 to 100 of about 31,396 (204)

On the independent subsets of powers of paths and cycles

, 2012
In the first part of this work we provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube.
Codara, Pietro, D'Antona, Ottavio M.
core  

Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers

, 2005
In 1985 Simion and Schmidt showed that the number of permutations in Sn which avoid 132, 213, and 123 is equal to the Fibonacci number Fn+1. We use generating function and bijective techniques to give other sets of pattern-avoiding permutations which can be enumerated in terms of Fibonacci or k-generalized Fibonacci numbers.
Egge, Eric C., Mansour, Toufik
openaire   +1 more source

Total Graph Interpretation of the Numbers of the Fibonacci Type

Journal of Applied Mathematics, 2015
We give a total graph interpretation of the numbers of the Fibonacci type. This graph interpretation relates to an edge colouring by monochromatic paths in graphs. We will show that it works for almost all numbers of the Fibonacci type. Moreover, we give
Urszula Bednarz, Iwona Włoch, Małgorzata Wołowiec-Musiał   +2 more
doaj   +1 more source

Fibonacci numbers: A population dynamics perspective

Heliyon, 2019
Fibonacci numbers or Fibonacci sequence is among the most popular numbers or sequence in Mathematics. In this paper, we discuss the sequence in a population dynamics perspective. We discuss the early development of the sequence and interpret the sequence
Asep K. Supriatna, Ema Carnia, Meksianis Z. Ndii   +2 more
doaj   +1 more source

On Doubled and Quadrupled Fibonacci Type Sequences

Annales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma, Włoch Andrzej, Özkan Engin, Strzałka Dominik   +3 more
doaj   +1 more source

Psychoacoustic Properties of Fibonacci Sequences

Acta Polytechnica, 2008
1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
doaj  

Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions

Journal of Inequalities and Applications
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article.
H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin   +5 more
doaj   +1 more source

$$h$$ h -analogue of Fibonacci numbers

The Ramanujan Journal, 2014
21 pages, No ...
openaire   +3 more sources

Linear regression with Fibonacci-derived polynomials for temperature prediction model

Discover Data
This research work explores the integration of Fibonacci-derived polynomial and linear equations from Fibonacci numbers into a machine learning framework for predictive modeling of environmental datasets, such as wind speed, temperature, and humidity ...
Ahmed O. Ameen, Johnson O. Fashanu
doaj   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source