On Kotzig's Perfect Set Problem of Hamiltonian Cycle Decompositions of the Complete Graph
Journal of Combinatorial Designs, EarlyView.ABSTRACT A Hamiltonian cycle decomposition (HCD) of K n ${K}_{n}$ is a set of Hamiltonian cycles in which each 1‐path of K n ${K}_{n}$ appears exactly once. A Dudeney set of K n ${K}_{n}$ is a set of Hamiltonian cycles in which each 2‐path of K n ${K}_{n}$ appears exactly once.
Nobuaki Mutoh
wiley +1 more source
An Unscented Kalman Filter Based on the Adams-Bashforth Method with Applications to the State Estimation of Osprey-Type Drones Composed of Tiltable Rotor Mechanisms. [PDF]
Sensors (Basel)Watanabe K, Takeda S, Nagai I.
europepmc +1 more source
On Oriented Colourings of Graphs on Surfaces
Journal of Graph Theory, EarlyView.ABSTRACT For an oriented graph G $G$, the least number of colours required to oriented colour G $G$ is called the oriented chromatic number of G $G$ and denoted χ o ( G ) ${\chi }_{o}(G)$. For a non‐negative integer g $g$ let χ o ( g ) ${\chi }_{o}(g)$ be the least integer such that χ o ( G ) ≤ χ o ( g ) ${\chi }_{o}(G)\le \unicode{x0200A}{\chi }_{o}(g)
Alexander Clow
wiley +1 more source
Optimization of asymmetric gyrostatic satellite kinematics in a resistive medium: A novel elliptic function solution. [PDF]
Sci RepElneklawy AH +4 more
europepmc +1 more source
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Analytic solutions for Euler-Bernoulli beams with axial compression resting on a nonlinear elastic foundation using MADM. [PDF]
Sci RepChou LK, Lin MX.
europepmc +1 more source
Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, EarlyView.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley +1 more source
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
J Nonlinear SciCarrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
Spectroscopic Ellipsometry of Conducting Anisotropic Pedot thin Films
Macromolecular Rapid Communications, EarlyView.We measure the optical response of poly[3,4‐ethylenedioxythiophene] thin films through the combination of polarized photon spectroscopies (variable‐angle ellipsometry, UV–mid‐IR reflectance and transmittance) and wide‐angle X‐ray scattering, revealing anisotropic optical response and conductivity and enabling structural modelling of chain and π‐system ...
Francesco Bisio +6 more
wiley +1 more source
Materials Genome Engineering Advances, EarlyView.DeepSeek‐Lattice‐KG integrates a domain‐adapted 14B LLM with a Neo4j lattice knowledge graph distilled from 50,000 papers. It analyzes queries, retrieves supporting subgraphs, and generates grounded answers; on a 2100‐question, six‐domain benchmark, it achieves 94.8% accuracy.
Zhiyang Shu +6 more
wiley +1 more source