Results 61 to 70 of about 717 (218)

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

The generalized order-k Fibonacci–Pell sequence by matrix methods

open access: yes, 2007
In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F–P sequence.
Kilic, Emrah
core   +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

On the intersection of two distinct $k$-generalized Fibonacci sequences [PDF]

open access: yes, 2011
summary:Let $k\geq 2$ and define $F^{(k)}:=(F_n^{(k)})_{n\geq 0}$, the $k$-generalized Fibonacci sequence whose terms satisfy the recurrence relation $F_n^{(k)}=F_{n-1}^{(k)}+F_{n-2}^{(k)}+\cdots + F_{n-k}^{(k)}$, with initial conditions $0,0,\dots ,0,1$
Marques, Diego, Max A. Alekseyev
core   +1 more source

Encrypt Anything: A Content‐Aware Hierarchical Privacy Protection Method for Image Data

open access: yesIET Computer Vision, Volume 20, Issue 1, January/December 2026.
This paper proposes the Encrypt Anything Model (EAM), a content‐aware hierarchical privacy protection method that integrates the Segment Anything Model (SAM) and Grounding‐DINO to automatically detect and segment privacy entities in images. EAM dynamically adjusts the encryption granularity according to the sensitivity level of privacy and introduces a
Jiawei Han   +5 more
wiley   +1 more source

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

Cholesky Factorization of the Generalized Symmetric k- Fibonacci Matrix

open access: yes, 2022
Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence relations. In this paper, we discuss factorizations and inverse factorizations of two kinds of generalized k-Fibonacci matrices.
Köme, Cahit, Cahit KÖME
core   +1 more source

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

(Non‐) Human Coordination Dynamics: Scaling Transformative Processes Through Indigenous Knowledge Systems

open access: yesComplexity, Volume 2026, Issue 1, 2026.
This paper describes the theory, method and customary knowledge behind the design of a global systems change network grounded in Indigenous relational processes. The project leverages nested cohorts of human and nonhuman agents, affiliated through ancient borderwork protocols within biocultural governance structures.
T. Yunkaporta   +4 more
wiley   +1 more source

Formula for the $n$th $k$-Generalized Fibonacci-like Number

open access: yes, 2022
In this paper we provided a formula for the $n$th term of the $k$-generalized Fibonacci-like sequence, a generalization of the well-known Fibonacci sequence, having $k$ arbitrary initial terms, where the succeeding terms are obtained by adding its ...
Balsomo, Alexander J.   +4 more
core  

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