Results 161 to 170 of about 1,959,412 (322)
Upper Bounds on the Minimum Size of Feedback Arc Set of Directed Multigraphs With Bounded Degree
Journal of Graph Theory, EarlyView.ABSTRACT An oriented multigraph is a directed multigraph without directed 2‐cycles. Let fas ( D ) $\text{fas}(D)$ denote the minimum size of a feedback arc set in an oriented multigraph D $D$. In several papers, upper bounds for fas ( D ) $\text{fas}(D)$ were obtained for oriented multigraphs D $D$ with maximum degree upper‐bounded by a constant ...
Gregory Gutin +3 more
wiley +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
Hitting Times in the Binomial Random Graph
Journal of Graph Theory, EarlyView.ABSTRACT Fix k ≥ 2 $k\ge 2$, choose log n n ( k − 1 ) ∕ k ≤ p ≤ 1 − Ω ( log 4 n n ) $\frac{\mathrm{log}n}{{n}^{(k-1)\unicode{x02215}k}}\le p\le 1-{\rm{\Omega }}(\frac{{\mathrm{log}}^{4}n}{n})$, and consider G ~ G ( n , p ) $G\unicode{x0007E}G(n,p)$. For any pair of vertices v , w ∈ V ( G ) $v,w\in V(G)$, we give a simple and precise formula for the ...
Bertille Granet +2 more
wiley +1 more source
Lipid correction of hydrogen stable isotope ratios in fish
Limnology and Oceanography: Methods, EarlyView.Abstract Lipids are known to affect stable isotope ratio of organisms, especially δ13C values, and simple arithmetic lipid‐correction procedures have been developed based on the carbon to nitrogen ratio (C : N) that is a proxy for lipid content. Equivalent issues will likely arise with the increasing use of hydrogen isotopes in ecology, but as yet no ...
Kang Wang +5 more
wiley +1 more source
An asymptotic formula for polynomials orthonormal with respect to a varying weight
, 2013 Trudy Moskov +4 more
semanticscholar +1 more source
Efficient First‐Principles Inverse Design of Nanolasers
Laser &Photonics Reviews, EarlyView.This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
wiley +1 more source
Moments of derivatives of quadratic Dirichlet <i>L</i>-functions with prime conductor. [PDF]
Res Number TheoryBest CG.
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
Stability analysis of nonlinear algebraic-differential equations with 2-delays and numerical methods. [PDF]
PLoS OneLiao H, Li Q, Xia X, Tang D.
europepmc +1 more source
Macromolecular Rapid Communications, EarlyView.This work presents a structure‐aware graph convolutional network that models polymers as statistical ensembles to predict macroscopic properties. By combining topologically realistic graphs generated via kinetic Monte Carlo simulations with explicit molar mass distributions, the framework achieves high accuracy in classifying architectures and ...
Julian Kimmig +7 more
wiley +1 more source