Results 71 to 80 of about 2,025 (185)

Karakteristik Graf Dengan Sisi Bilangan Fibonacci

open access: yesJurnal Derivat
Let  be a finite subset of Fibonacci numbers set. In this research, we construct a graph  where the set of vertices contains integer numbers such that for every , there exist some edge  in  that satisfies the condition . By applying some properties
Darmajid, Dwi Mifta Mahanani
doaj   +1 more source

A note on Fibonacci matrices of even degree

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
doaj   +1 more source

Fibonacci and Telephone Numbers in Extremal Trees

open access: yesDiscussiones Mathematicae Graph Theory, 2018
In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
doaj   +1 more source

Fibonacci numbers: A population dynamics perspective

open access: yesHeliyon, 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   +2 more
doaj   +1 more source

Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]

open access: yesAdvances in Difference Equations, 2015
In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
openaire   +3 more sources

Total Graph Interpretation of the Numbers of the Fibonacci Type

open access: yesJournal 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   +2 more
doaj   +1 more source

On The Generalized Gaussian Fibonacci Numbers.

open access: yesArs Comb., 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

On Doubled and Quadrupled Fibonacci Type Sequences

open access: yesAnnales 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   +3 more
doaj   +1 more source

Psychoacoustic Properties of Fibonacci Sequences

open access: yesActa 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

open access: yesJournal 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   +5 more
doaj   +1 more source

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