Results 91 to 100 of about 2,413 (223)

Zarankiewicz bounds from distal regularity lemma

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley   +1 more source

Properties of Generalized Bronze Fibonacci Sequences and Their Hyperbolic Quaternions

open access: yesAxioms
In this study, we establish some properties of Bronze Fibonacci and Bronze Lucas sequences. Then we find the relationships between the roots of the characteristic equation of these sequences with these sequences.
Engin Özkan, Hakan Akkuş, Alkan Özkan
doaj   +1 more source

The Magnetic Signature of Stress in Rocks

open access: yesGeophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Magnetic signatures preserved in rocks have long provided insight into Earth's evolution, revealing processes from plate tectonics to the habitability of Earth. While large impacts are known to impose extreme stresses (>1 GPa) and heat that fundamentally alters magnetic records, lower stresses typical of earthquakes have been considered ...
B. R. Kugabalan   +8 more
wiley   +1 more source

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

open access: yes, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
core  

The complex-type k-Fibonacci sequences and their applications

open access: yes, 2021
© 2020 Taylor & Francis Group, LLC. In this article, we define the complex-type k-Fibonacci numbers and then give the relationships between the k-step Fibonacci numbers and the complex-type k-Fibonacci numbers.
Deveci Ö, Shannon AG
core   +1 more source

Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín   +2 more
wiley   +1 more source

Alternating generalized Fibonacci sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In a recent paper, K.~T. Atanassov and A.~G. Shannon introduced a Fibonacci-like sequence derived from the generalized Fibonacci sequence by incorporating alternating signs into the recurrence relation.
Carlos M. da Fonseca, Paulo Saraiva
doaj   +1 more source

On Some Properties of the Hofstadter–Mertens Function

open access: yesComplexity, 2020
Many mathematicians have been interested in the study of recursive sequences. Among them, a class of “chaotic” sequences are named “meta-Fibonacci sequences.” The main example of meta-Fibonacci sequence was introduced by Hofstadter, and it is called the ...
Pavel Trojovský
doaj   +1 more source

Entanglement in Quantum Systems Based on Directed Graphs

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 1, January 2026.
The entanglement properties of quantum states associated with directed graphs are investigated. It is proved that the vertex degree distribution fully determines this entanglement measure, which remains invariant under vertex relabeling, thereby highlighting its topological character.
Lucio De Simone, Roberto Franzosi
wiley   +1 more source

IDENTITIES FOR MULTIPLICATIVE COUPLED FIBONACCI SEQUENCES OF RTH ORDER

open access: yesJournal of New Theory, 2017
Abstaract−Many author studied coupled Fibonacci sequences and multiplicative coupled Fi- bonacci sequences of lower order two, three and four etc. In this paper we defined multiplicative coupled Fibonacci Sequences of rthorder under 2rdifferent schemes ...
Ashok Dnyandeo Godase, Macchindra Dhakne
doaj  

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