Results 11 to 20 of about 10,886,718 (351)

Construction of dual-generalized complex Fibonacci and Lucas quaternions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
doaj   +2 more sources

Horadam–Lucas Cubes

open access: yesAxioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan   +2 more
doaj   +2 more sources

A note on Fibonacci and Lucas number of domination in path [PDF]

open access: diamondElectronic Journal of Graph Theory and Applications, 2018
Let G = ( V ( G ), E ( G )) be a path of order n ≥ 1 . Let f m ( G ) be a path with m ≥ 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex. A set F ( G ) contains all possible f m ( G ) ,
Leomarich F. Casinillo
openalex   +2 more sources

Data Hiding Technique using Catalan-Lucas Number Sequence

open access: diamond, 2017
In this paper, a novel data hiding technique is proposed which is an improvement over an existing data hiding techniques. Generally, a pixel intensity value of an image is represented by 8-bit binary sequence.
Shilpa Pund-Dange, Chitra Desai
openalex   +3 more sources

Initial number of Lucas’ type series for the generalized Fibonacci sequence

open access: diamondFilomat, 2021
Initial numbers for Lucas? type series have so far been established only for Fibonacci (2,1) and Tribonacci (3,1,3) sequences. Characteristics of stated series is their asymptotic relation with the exponent of the series constant.
Siniša Crvenković   +3 more
openalex   +3 more sources

On quaternions with generalized Fibonacci and Lucas number components

open access: gold, 2015
In this paper, we give the exponential generating functions for the generalized Fibonacci and generalized Lucas quaternions, respectively. Moreover, we give some new formulas for binomial sums of these quaternions by using their Binet forms.
Emrah Polatlı, Seyhun Kesim
openalex   +2 more sources

Some Properties of (p, q) - Lucas Number

open access: diamond, 2016
In this paper, we consider the generalized Lucas sequence which is the (p, q) Lucas sequence. Then we used the Binet’s formula to show some properties of the (p, q) Lucas number. We get some generalized identities of the (p, q) Lucas number.
Alongkot Suvarnamani
openalex   +2 more sources

Edge General Position Sets in Fibonacci and Lucas Cubes [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2023
A set of edges X⊆E(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X ...
S. Klavžar, E. Tan
semanticscholar   +1 more source

Square-free Lucas d-pseudoprimes and Carmichael-Lucas numbers [PDF]

open access: yesCzechoslovak Mathematical Journal, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlip, W., Somer, L.
openaire   +2 more sources

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