Results 81 to 90 of about 31,396 (204)

Solusi Bilangan Bulat suatu Persamaan Diophantine melalui Bilangan Fibonacci dan Bilangan Lucas [PDF]

open access: yes, 2015
This article discusses the Diophantine equations in the form x 2 + axy + by 2 = c. The values of a, b, and c are constructed by Fibonacci number Fn and Lucas number L n.
Gemawati, S. (Sri)   +2 more
core  

Device‐Independent Quantum Key Distribution: Protocols, Quantum Games and Security

open access: yesIET Quantum Communication, Volume 7, Issue 1, January/December 2026.
Device‐independent quantum key distribution (DIQKD) removes the need to trust internal device behaviour by certifying security through Bell‐inequality violations, thereby closing practical loopholes in conventional QKD. This paper systematically reviews DIQKD foundations (Bell tests and security definitions), protocol frameworks (CHSH‐based and ...
Syed M. Arslan   +3 more
wiley   +1 more source

Cubic binomial Fibonacci sums [PDF]

open access: yesElectronic Journal of Mathematics, 2021
Kunle Adegoke   +2 more
doaj   +1 more source

Sequences defined by h-vectors [PDF]

open access: yes, 2018
In this paper we consider the sequence whose n^{th} term is the number of h-vectors of length n. We show that the n^{th} term of this sequence is bounded above by the n^{th} Fibonacci number and bounded below by the number if integer partitions of n into
Enkosky, Thomas, Stone, Branden
core  

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül   +3 more
wiley   +1 more source

Another type of generalized fibonacci series

open access: yesSemina: 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

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

δ-Fibonacci numbers

open access: yesApplicable 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

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