Results 51 to 60 of about 16,304 (189)

A Class of Convergent Series with Golden Ratio Based on Fibonacci Sequence [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this article, a class of convergent series based on Fibonacci sequence is introduced for which there is a golden ratio (i.e. $frac{1+sqrt 5}{2}),$ with respect to convergence analysis.
Moosa Ebadi, Farnaz Soltanpour
doaj   +1 more source

Fibonacci-Like Sequence

International Journal of Advanced Mathematical Sciences, 2013
The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong to particular class of recursive sequences. In this article, Fibonacci-Like sequence is introduced and defined by 1 2 0 1 2 for 2 with 2 , 1. n n n H H H n H H        The Binet’s formula and generating function of Fibonacci-Like sequence ...
Shikha Bhatnagar, Bijendra Singh, Omprakash Sikhwal   +2 more
openaire   +2 more sources

Zarankiewicz bounds from distal regularity lemma

Bulletin 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

The Magnetic Signature of Stress in Rocks

Geophysical 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, T. M. Mitchell, A. R. Muxworthy, W. Williams, H. Gregov, F. M. Aben, D. P. Dobson, U. D. Bellon, P. G. Meredith   +8 more
wiley   +1 more source

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, Hortensia Galeana-Sánchez   +1 more
doaj   +1 more source

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

Numerical 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, Jorge Delgado, J. M. Peña   +2 more
wiley   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using 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

Entanglement in Quantum Systems Based on Directed Graphs

Advanced 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

Generalized Fibonacci Sequences Generated from a $k$--Fibonacci Sequence

Journal of Mathematics Research, 2012
In this paper we will prove that all $k$--Fibonacci sequence contains generalized Fibonacci sequences and we will indicate the form of obtain them.
openaire   +1 more source

Automating Algorithm Experiments With ALGator: From Problem Modeling to Reproducible Results

Software: Practice and Experience, Volume 56, Issue 1, Page 26-41, January 2026.
ABSTRACT Background Theoretical algorithm analysis provides fundamental insights into algorithm complexity but relies on simplified and often outdated computational models. Experimental algorithmics complements this approach by evaluating the empirical performance of algorithm implementations on real data and modern computing platforms.
Tomaž Dobravec
wiley   +1 more source