Results 61 to 70 of about 11,648,998 (193)
On Lev's periodicity conjecture
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1496-1511, May 2025.Abstract We classify the sum‐free subsets of F3n${\mathbb {F}}_3^n$ whose density exceeds 16$\frac{1}{6}$. This yields a resolution of Vsevolod Lev's periodicity conjecture, which asserts that if a sum‐free subset A⊆F3n${A\subseteq {\mathbb {F}}_3^n}$ is maximal with respect to inclusion and aperiodic (in the sense that there is no non‐zero vector v$v$
Christian Reiher
wiley +1 more source
On Kneser Solutions of Third-order Delay Dynamic Equations
, 2010 Some new criteria for the asymptotic and oscillatory behavior of third-order linear delay dynamic equations on time scales are established. Several results are presented that offer conditions guaranteeing that every nonoscillatory solution of the ...
Bohner, Martin +2 more
core +1 more source
Generating Medical Reports With a Novel Deep Learning Architecture
International Journal of Imaging Systems and Technology, Volume 35, Issue 2, March 2025.ABSTRACT The writing of medical reports by doctors in hospitals is a critical and sensitive process that is time‐consuming, prone to human error, and requires medical experts on site. Existing work on autonomous medical report generation using medical images as input has not achieved sufficiently high success. The goal of this paper is to present a new,
Murat Ucan, Buket Kaya, Mehmet Kaya
wiley +1 more source
AIMS MathematicsIn this paper, we examined the existence and uniqueness of solutions to the second-order $ (p, q) $-difference equation with non-local boundary conditions by using the Banach fixed-point theorem.
N. Turan, M. Başarır, A. Şahin
semanticscholar +1 more source
Solution set for fractional differential equations with Riemann-Liouville derivative
, 2013 We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty ...
Y. Chalco-Cano +3 more
semanticscholar +1 more source
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 895-912, March 2025.Abstract We prove that at differentiability points r0>0$r_0>0$ of the volume function of a compact set A⊂Rd$A\subset \mathbb {R}^d$ (associating to r$r$ the volume of the r$r$‐parallel set of A$A$), the surface area measures of r$r$‐parallel sets of A$A$ converge weakly to the surface area measure of the r0$r_0$‐parallel set as r→r0$r\rightarrow r_0 ...
Jan Rataj, Steffen Winter
wiley +1 more source
Choice number of Kneser graphs
, 2021 In this short note, we show that for any $\epsilon >0$ and ...
Kupavskii, Andrey, Bulankina, Vera
core
A Sharp Threshold for a Random Version of Sperner's Theorem
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.ABSTRACT The Boolean lattice 𝒫(n) consists of all subsets of [n]={1,…,n}$$ \left[n\right]=\left\{1,\dots, n\right\} $$ partially ordered under the containment relation. Sperner's Theorem states that the largest antichain of the Boolean lattice is given by a middle layer: the collection of all sets of size n/2$$ \left\lfloor n/2\right\rfloor $$, or also,
József Balogh, Robert A. Krueger
wiley +1 more source
A note on homomorphisms of Kneser hypergraphs
, 2020 Let n, k, r be positive integers, with n ≥ kr. The r-uniform Kneser hypergraph KG r(n, k) has as vertex set the set of all k-subsets of the set {1,…,n} and its (hyper) edges are formed by the r-tuples of pairwise disjoint k-subsets of the set {1,…,n}. In
Valencia-pabon, Mario +7 more
core +1 more source
$s$-Stable Kneser Graph are Hamiltonian [PDF]
The Kneser Graph $K(n,k)$ has as vertices all $k$-subsets of $\{1,\ldots,n\}$ and edges connecting two vertices if they are disjoint. The $s$-stable Kneser Graph $K_{s-stab}(n, k)$ is obtained from the Kneser graph by deleting vertices with elements at ...
Pastine, Adrián G. +1 more
core +1 more source