Results 71 to 80 of about 2,249 (234)
Another type of generalized fibonacci series
Semina: Ciências Exatas e Tecnológicas, 2004 The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
doaj
Karakteristik Graf Dengan Sisi Bilangan Fibonacci
Jurnal DerivatLet 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
International 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
Applicable Analysis and Discrete Mathematics, 2009 The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.
Roman Wituła, Damian Słota
openaire +2 more sources
Fibonacci and Telephone Numbers in Extremal Trees
Discussiones 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
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 +2 more
doaj +1 more source
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 +2 more
doaj +1 more source
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn 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