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arXiv:2602.11787v1 Announce Type: new Abstract: In this paper, we prove the existence and a partial regularity of a weak solution to the system governing the...
arXiv:2602.11788v1 Announce Type: new Abstract: This paper establishes a novel upper bound-termed the arithmetic Singleton bound-on the Hamming distance of any simple-root constacyclic code over...
arXiv:2602.11789v1 Announce Type: new Abstract: Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication....
arXiv:2602.11796v1 Announce Type: new Abstract: In 1987, Frankl proved an influential stability result for the Erd\H os--Ko--Rado theorem, which bounds the size of an intersecting...
arXiv:2602.11803v1 Announce Type: new Abstract: In this article, we establish Hineva inequality for different types of submanifolds of Quaternionic Space forms
arXiv:2602.11814v1 Announce Type: new Abstract: Maximum-a-posteriori (MAP) approaches are an effective framework for inverse problems with known forward operators, particularly when combined with expressive priors...
arXiv:2602.11816v1 Announce Type: new Abstract: Let $R$ be a commutative ring with unity 1, and $ G(V,E)$ be a simple, connected, nontrivial graph. Let $d(a,c)$...
arXiv:2602.11817v1 Announce Type: new Abstract: In this paper, we propose and analyze a third-order dynamical system for solving a generalized inverse mixed variational inequality problem...
arXiv:2602.11819v1 Announce Type: new Abstract: We construct a finitely generated residually finite group $G$ with the property that every finite index subgroup of $G$ contains...
arXiv:2602.11821v1 Announce Type: new Abstract: The newsvendor model is a well-known stochastic model for inventory management; however, it was originally developed for a single-period context...
arXiv:2602.11827v1 Announce Type: new Abstract: We present correct proof of G. Chung, Y.-J. Tsay result on partial gossip problem.
arXiv:2602.11830v1 Announce Type: new Abstract: In this paper, we prove that the property of being a grape (in any of its variants) is invariant under...
arXiv:2602.11837v1 Announce Type: new Abstract: The celebrated Antezana-Pujals-Stojanoff Theorem states that the iterated Aluthge transforms of an arbitrary matrix converge to a normal matrix. We...
arXiv:2602.11840v1 Announce Type: new Abstract: A graph $G$ is universal for a class of graphs $\mathcal{C}$, if, up to isomorphism, $G$ contains every graph in...
arXiv:2602.11843v1 Announce Type: new Abstract: Truncated Neumann series $S_k(A)=I+A+\cdots+A^{k-1}$ are used in approximate matrix inversion and polynomial preconditioning. In dense settings, matrix-matrix products dominate the...
arXiv:2602.11848v1 Announce Type: new Abstract: Here we show, in the second paper in a series of articles, methods to calculate propositional statements with algebraic polyno...
arXiv:2602.11849v1 Announce Type: new Abstract: We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data....
arXiv:2602.11856v1 Announce Type: new Abstract: We analyse several constructions of random point sets on the sphere $\mathbb{S}^{3}\subset\mathbb{R}^4$ evaluating and comparing them through their discrete logarithmic...
arXiv:2602.11859v1 Announce Type: new Abstract: Starting from a subinvariant positive definite kernel under a branching pullback, we attach to the resulting kernel tower a canonical...
arXiv:2602.11867v1 Announce Type: new Abstract: For a smooth algebraic curve defined over a number field, one can associate a bipartite graph known as a dessin...
arXiv:2602.11870v1 Announce Type: new Abstract: We present the novel Reduced Basis Virtual Element Method (rbVEM) for solving the Laplace eigenvalue problem. This approach is based...
arXiv:2602.11872v1 Announce Type: new Abstract: Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We...
arXiv:2602.11889v1 Announce Type: new Abstract: We study a singular elliptic problem driven by a mixed local-nonlocal operator of the form \begin{equation*} \begin{aligned} -\Delta_p u +...
arXiv:2602.11892v1 Announce Type: new Abstract: We prove several results about matroids and matroidal families associated with rigidity in dimension $2$. In particular, we establish new...