Results 231 to 240 of about 7,283,719 (303)

Equivalent Formulation of Thomassen's Conjecture Using Tutte Paths in Claw‐Free Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT We continue studying Thomassen's conjecture (every 4‐connected line graph has a Hamilton cycle) in the direction of a recently shown equivalence with Jackson's conjecture (every 2‐connected claw‐free graph has a Tutte cycle), and we extend the equivalent formulation as follows: In every connected claw‐free graph, any two vertices are connected
Adam Kabela   +2 more
wiley   +1 more source

On Graphs Which Have Locally Complete 2‐Edge‐colourings and Their Relationship to Proper Circular‐Arc Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A 2‐edge‐coloured graph G $G$ is called locally complete if for each vertex v $v$, the vertices adjacent to v $v$ through edges of the same colour induce a complete subgraph in G $G$. Locally complete 2‐edge‐coloured graphs have nice properties, and there exists a polynomial algorithm to decide whether such a graph has an alternating ...
Jørgen Bang‐Jensen, Jing Huang
wiley   +1 more source

NTECARS: A Nonthermal Equilibrium CARS Spectra Fitting Code

open access: yesJournal of Raman Spectroscopy, EarlyView.
We present NTECARS, an open‐source code written in Julia for the calculation and fitting of CARS spectra under nonequilibrium conditions. Rovibrational distributions can be flexibly modeled and fitted for different use cases. The code currently implements CO2$$ \mathrm{C}{\mathrm{O}}_2 $$ and N2$$ {\mathrm{N}}_2 $$ molecules and is validated under ...
Christian A. Busch, Uwe Czarnetzki
wiley   +1 more source

A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators

open access: yesLaser &Photonics Reviews, EarlyView.
ABSTRACT Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies.
Loubnan Abou Hamdan   +8 more
wiley   +1 more source

Holographic is Hamiltonian, relatively. [PDF]

open access: yesLett Math Phys
Chruściel PT, Wutte R.
europepmc   +1 more source

Quantization of Polaritons Confined in Dielectric Structures

open access: yesLaser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani   +4 more
wiley   +1 more source

1 W Single‐Mode Large‐Area Edge‐Emitting Laser via Non‐Hermitian Spatial Mode Filtering

open access: yesLaser &Photonics Reviews, EarlyView.
We demonstrate a non‐Hermitian spatial mode filtering approach for achieving high‐power single‐mode operation in large‐area edge‐emitting laser diodes. By symmetrically coupling passive filter arrays to the main lasing waveguide, higher‐order transverse modes are effectively suppressed while preserving the fundamental mode.
Ece Karabey   +4 more
wiley   +1 more source

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