Results 1 to 10 of about 919 (183)
The Fibonacci numbers of certain subgraphs of circulant graphs
AKCE International Journal of Graphs and Combinatorics, 2015 The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo +1 more
doaj +1 more source
Elliptic Solutions of Dynamical Lucas Sequences
Entropy, 2021 We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting variables. We show that a nice solution for this system
Michael J. Schlosser, Meesue Yoo
doaj +1 more source
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj +1 more source
Elementary sequences, sub-Fibonacci sequences
Discrete Applied Mathematics, 1993 A nondecreasing integer sequence \(x_ 1,x_ 2,\dots,x_ k\) with \(x_ 1=x_ 2=1\) and \(n \geq 2\) is said to be elementary if for all \(k \leq n\) \((x_ k>1 \Rightarrow x_ k=x_ i+x_ j\) for some \(i \neq j)\) and sub- Fibonacci if for all \(k \in \{3,\dots,n\}\) \((x_ k \leq x_{k-1}+x_{k- 2})\).
Peter C. Fishburn, Fred S. Roberts
openaire +1 more source
Generalized Fibonacci sequences in groupoids [PDF]
Advances in Difference Equations, 2013 Abstract In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci ...
Kim, Hee, Neggers, J, So, Keum
openaire +1 more source
On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]
Mathematica BohemicaWe consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis +3 more
doaj +1 more source
Accelerations of Generalized Fibonacci Sequences
The Fibonacci Quarterly, 2011 In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
ABRATE, MARCO +3 more
openaire +4 more sources
On Irregularity Measures in Trees with Fibonacci Degree Sequences
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiIn this paper, degree-based topological indices are fundamental graph invariants used to quantify structural irregularity. Let G=(V,E) be a simple tree with vertex degrees dv for v∈V(G).
Hamoud, J. +3 more
doaj +1 more source
Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj
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