Results 71 to 80 of about 57,585 (308)
On the extreme complexity of certain nearly regular graphs
Theory and Applications of GraphsThe complexity of a graph is the number of its labeled spanning trees. It is demonstrated that the seven known triangle-free strongly regular graphs are graphs of maximal complexity among all graphs of the same order and degree; their complements are ...
Gregory P Constantine, Gregory C Magda
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Monophonic Distance Laplacian Energy of Transformation Graphs Sn^++-,Sn^{+-+},Sn^{+++}
Ratio Mathematica, 2023 Let $G$ be a simple connected graph of order $n$, $v_{i}$ its vertex. Let $\delta^{L}_{1}, \delta^{L}_{2}, \ldots, \delta^{L}_{n}$ be the eigenvalues of the distance Laplacian matrix $D^{L}$ of $G$. The distance Laplacian energy is denoted by $LE_{D}(G)$.
Diana R, Binu Selin T
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The wave equation for the Bessel Laplacian [PDF]
, 2014 We study radial solutions of the Cauchy problem for the wave equation in the multidimensional unit ball Bd, d ≥ 1. In this case, the operator that appears is the Bessel Laplacian and the solution u (t, x) is given in terms of a Fourier-Bessel expansion ...
Ciaurri, T. [0000-0002-1695-3311] +1 more
core +1 more source
TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens
Advanced Science, EarlyView.ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan +10 more
wiley +1 more source
Existence of positive solutions for non local p-Laplacian thermistor problems on time scales [PDF]
, 2007 We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University.
Ammi, M.R.S., Torres, D.F.M.
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Advanced Science, EarlyView.The fundamental nature of anion storage in p‐type organic cathodes is elucidated using rigid poly(arylamine) frameworks. This study reveals a hybrid covalent‐ionic mechanism for anion‐π+ interactions, driven by synergistic orbital hybridization and electrostatic attraction.
Tiantian She +7 more
wiley +1 more source
On the construction of L-equienergetic graphs
AKCE International Journal of Graphs and Combinatorics, 2015 For a graph G with n vertices and m edges, and having Laplacian spectrum μ1,μ2,…,μn and signless Laplacian spectrum μ1+,μ2+,…,μn+, the Laplacian energy and signless Laplacian energy of G are respectively, defined as LE(G)=∑i=1n|μi−2mn| and LE+(G)=∑i=1n ...
S. Pirzada, Hilal A. Ganie
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Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian [PDF]
, 2014 We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated ...
Dorota Bors, Bors, Dorota
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Strain Tuning the Occupation of Candidate Topological Weyl States in W‐Doped MoTe2
Advanced Science, EarlyView.The present study investigates strain‐induced modifications of the electronic structure in the Weyl semimetal Td${\rm T}_d$‐Mo0.91W0.09Te2${\mathrm{Mo}}_{0.91}{\mathrm{W}}_{0.09}{\mathrm{Te}}_{2}$ using hard X‐ray angle‐resolved photoemission spectroscopy.
Amon Lanz +21 more
wiley +1 more source
Colouring the Normalized Laplacian
Electronic Notes in Theoretical Computer Science, 2019 We apply Cauchy's interlacing theorem to derive some eigenvalue bounds to the chromatic number using the normalized Laplacian matrix, including a combinatorial characterization of when equality occurs. Further, we introduce some new expansion type of parameters which generalize the Cheeger constant of a graph, and relate them to the colourings which ...
Gabriel Coutinho +2 more
openaire +2 more sources