2106 papers
This paper characterizes Sterboul–Deming graphs—defined as graphs where every vertex belongs to a posy or a flower—by providing constructive decomposition algorithms for graphs with perfect or unique perfect matchings, extending the analysis via Gallai–Edmonds decomposition, and demonstrating that the class encompasses all graphs possessing a -factor.
This paper introduces generalized Jflower and Jposy configurations that unify with classical flower and posy structures to provide a comprehensive characterization of Sterboul-Deming graphs, where every vertex belongs to a specific configuration relative to a maximum matching.
This paper introduces a scalable s-step Preconditioned Conjugate Gradient method that leverages a Chebyshev-stabilized basis and Forward Gauss-Seidel iterations to solve reduced Gram systems, achieving classical convergence with significantly reduced synchronization overhead on modern GPU architectures.
This paper investigates biased Maker-Breaker games on systems of graphs where Maker aims to construct rainbow structures, specifically determining the threshold bias for rainbow connectivity and diameter games on complete graphs while disproving a conjecture by Balogh, Martin, and Pluhár.
This paper proves a conjecture by D'haeseleer, Metsch, and Werner by determining the largest cocliques and establishing a stability result for the Kneser graph of -flags in PG when is sufficiently large, utilizing the Erdős-Matching theorem for vector spaces.
This paper contrasts the mathematical structures and optimality conditions of rate-control versus effort-control harvesting in age-structured populations, demonstrating how the multiplicative, aggregate-dependent nature of effort-control introduces nonlocal coupling in the adjoint system that fundamentally distinguishes it from the additive rate-control formulation.
This paper documents research conducted under the DRP Turkiye 2025 mentorship program, providing a comprehensive exposition of Grassmann algebra's foundational properties, construction, and relationship to determinants, while culminating in a novel classification of its invariant subalgebras.
This paper confirms the Darmon-Vonk conjecture on the antisymmetry of real quadratic singular moduli by analyzing rigid meromorphic cocycles for the split orthogonal group on four variables and establishing the modularity of a generating series of Kudla-Millson divisors.
This paper proposes and analyzes a two-grid penalty approximation scheme for decoupled Markovian doubly reflected BSDEs, which overcomes error amplification from obstacle evaluation by simulating the forward process on a finer grid, thereby establishing explicit error bounds and optimal tuning rules to achieve a target convergence rate of .
This paper establishes that for a principal congruence subgroup over a function field , the -unstable region of the Bruhat-Tits building for is homotopy equivalent to the spherical Tits building for , extending Grayson's generalization of Serre's earlier result for .
This paper establishes the existence and qualitative properties of steady states for a nonlinear integro-differential equation modeling polymer dynamics involving nucleation, transport, and multiplicative coagulation, demonstrating that a sufficiently strong decay rate for large polymers prevents gelation despite the coagulation kernel's tendency to cause it in isolation.
This paper proposes a model-free reinforcement learning algorithm that achieves almost sure convergence with an optimal rate of O(1/n) for solving long-run Conditional Value-at-Risk (CVaR) optimization problems in Markov decision processes using a single sample trajectory.
This paper introduces a flexible transformed minimization model with two adjustable parameters to enhance sparse signal recovery, establishing exact and stable recovery guarantees via the restricted isometry property, proposing an efficient IRLSTLp algorithm with convergence proofs, and demonstrating its superior performance and theoretical bounds through numerical experiments.
This paper establishes rigorous error estimates for the hyperbolic scaling limits of linear discrete kinetic models on networks by reformulating symmetric n-edge junctions into independent initial-boundary value problems and deriving asymptotic expansions via the energy method.
This paper establishes that the convergence of the Flint Hills series is equivalent to the irrationality measure of being at most $5/2\zeta(3)L(3, \chi_{-3})$.
This paper extends the correspondence between automorphism groups and -categorical structures to the locally Roelcke precompact and locally -categorical settings by defining the latter, proving a Ryll-Nardzewski theorem, characterizing the associated groups via isometric actions, and establishing that bi-interpretability of structures is equivalent to the isomorphism of their automorphism groups.
This paper resolves the open case for in Pelczyński's theorem by constructing -injective but not -injective Banach spaces via an iterative "zero-sum" subspace technique, while also establishing a new upper bound of $9+6\sqrt{3}L_\infty[0,1]\ell_\infty$.
This paper resolves the Deng-Robles problem for polarized variations of Hodge structure over smooth quasi-projective surfaces with one-dimensional pure period images by demonstrating that the obstruction to an intrinsic algebraic description of the completed period image is divisor-theoretic and proving the necessary Picard-generation statement.
Motivated by the Schoen–Marques–Neves conjecture, this paper verifies a sufficient pointwise Ambrozio–Carlotto–Sharp inequality for minimal isoparametric hypersurfaces with positive Ricci curvature in unit spheres, thereby establishing a lower bound on the Morse index proportional to the first Betti number for closed embedded minimal hypersurfaces in these ambient manifolds.
This paper establishes the compactness and -convergence of a nonlocal phase transition functional involving the norm and surfactants to a local perimeter-type energy that accounts for both the interfacial surfactant density and the total variation of the surfactant measure away from the interface.