141 papers
Using machine learning-guided symbolic regression on a diverse dataset of 3,429 graphs, this study identifies a high-accuracy empirical formula relating the domination number and spectral radius of graphs, while explicitly characterizing the extremal cases where the relationship fails.
This paper introduces a scale-invariant verification-domain profile to quantify the robustness of positive scalarisation certificates in finite multi-objective optimisation, establishing a theoretical trichotomy for certifiability and providing efficient row-generation algorithms that achieve exact classification and budget agreements across diverse problem instances.
This paper presents a one-dimensional reduced dynamical-systems model within the Payne-Whitham and optimal-velocity framework to derive a stability condition for dense pedestrian flow in confined geometries, identifying how density, relaxation time, velocity sensitivity, and width jointly determine the onset of long-wave stop-and-go instabilities.
This qualitative study examines how first-year business students activate Facione's six critical thinking skills while solving calculus limits problems using Symbolab, revealing a "CT-neutral zone" of mechanical input during early instrumental genesis and identifying distinct evaluation subtypes and cross-stage patterns that bridge critical thinking theory with instrumental genesis processes.
This study establishes a rigorous graph-theoretic framework for predicting the physicochemical properties of five Hepatocellular Carcinoma therapeutics by demonstrating that six degree-based topological indices, particularly the Yemen Index, exhibit statistically significant correlations with Surface Tension through linear regression analysis.
This paper investigates a reaction-diffusion competition system based on the Shigesada-Kawasaki-Teramoto model to establish exact parameter ranges ensuring the existence of only non-coexisting steady-state solutions, demonstrating that the impact of cross-diffusion on these solutions depends on the intensity of interspecific competition.
This paper establishes sharp operator-norm and composition bounds for pseudodifferential operators associated with the fractional Hankel–Clifford transform via a closed-form evaluation of a geometric moment integral, and applies these results to derive a stability estimate for a singular Bessel-type Cauchy problem while identifying the specific obstruction to a four-parameter extension.
This study analytically and numerically characterizes the stability and bifurcation routes of a delayed quadratic map with recursive filtered memory, demonstrating how delay and memory parameters govern fold, flip, and conditional complex-pair transitions within a three-dimensional polynomial framework.
This paper presents a comprehensive analytical and numerical study of multi-dimensional damped wave equations with singular potentials, establishing rigorous convergence and stability results for an eigenfunction expansion solution while developing a high-order Gegenbauer collocation method that achieves algebraic convergence rates consistent with the singularity-induced regularity loss.
This paper formulates the selection of an optimal static sampling distribution for randomized block Kaczmarz methods as a cost-sensitive E-optimal design problem solvable via semidefinite programming, and proposes two certified algorithms that significantly outperform standard uniform or norm-based sampling by accounting for both row-space redundancy and varying computational costs.