Results 71 to 80 of about 5,965 (204)

Signed graphs with integral net Laplacian spectrum

AKCE International Journal of Graphs and Combinatorics, 2023
Given a signed graph [Formula: see text], let [Formula: see text] and [Formula: see text] be its standard adjacency matrix and the diagonal matrix of net-degrees, respectively.
M. Anđelić, T. Koledin, Z. Stanić, J. Wang   +3 more
doaj   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Isolation and Structural Characterization of Se‐Hügerschoff Intermediates Derived From 4‐Bromoaniline

Journal of Heterocyclic Chemistry, EarlyView.
Isolation and characterization of Se‐brominated Hügerschoff intermediates enable structural and mechanistic insight into seleno‐Hügerschoff cyclization to 2‐aminobenzoselenazoles. ABSTRACT A brominated intermediate within the Hügerschoff reaction has long been postulated but never directly observed.
Adam W. E. Stewart, Tom Fellows, Lucy Li, Craig J. Morton, Glen P. Carter, Jonathan M. White   +5 more
wiley   +1 more source

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

On the Seidel Laplacian spectrum of threshold graphs [PDF]

Journal of Hyperstructures
A graph which does not contain C4, P4, or 2K2 as its induced subgraphs, is called a threshold graph. In this paper, we consider seidel laplacian matrix of a connected threshold graph and determine the seidel laplacian spectrum. Also, the characterization
Megha P M, Parvathy K S
doaj   +1 more source

Spectral characterizations of sun graphs and broken sun graphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Several matrices can be associated to a graph such as the adjacency matrix or the Laplacian matrix. The spectrum of these matrices gives some informations about the structure of the graph and the question ''Which graphs are determined by their spectrum?''
Romain Boulet
doaj   +1 more source

Nonlinear Resonance Modulation in Single‐Crystalline VO2‐Integrated Si Ring Resonator

Laser &Photonics Reviews, EarlyView.
This work first demonstrates a single‐crystalline VO2–Si hybrid ring resonator. The epitaxial lift‐off process enables high‐quality VO2 integration on the dissimilar Si photonic platform. The high‐quality VO2 film exhibits exceptional nonlinear resonance modulation and a steep optical transition across the metal‐insulator transition. ABSTRACT The metal‐
Sebae Park, Dong Kyu Lee, Junyeop Kim, Sungwon Lee, Heedeuk Shin, Junwoo Son   +5 more
wiley   +1 more source

Computing the Normalized Laplacian Spectrum and Spanning Tree of the Strong Prism of Octagonal Network

Journal of Mathematics, 2022
Spectrum analysis and computing have expanded in popularity in recent years as a critical tool for studying and describing the structural properties of molecular graphs. Let On2 be the strong prism of an octagonal network On.
Yasir Ahamad, Umar Ali, Imran Siddique, Aiyared Iampan, Walaa A. Afifi, Hamiden Abd-El-Wahed Khalifa   +5 more
doaj   +1 more source

The spectrum and the signless Laplacian spectrum of coronae

Linear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Shu-Yu, Tian, Gui-Xian
openaire   +2 more sources

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source