Results 61 to 70 of about 102,073 (256)
Investigation of the Main Energies of Picture Fuzzy Graph and its Applications
International Journal of Computational Intelligence Systems, 2022 Picture fuzzy graph, belonging to fuzzy graphs family, has good capabilities at times when we are faced with problems that cannot be expressed by fuzzy graphs and intuitionistic fuzzy graphs.
Xiaolong Shi +4 more
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Mathematical Prediction for Geometry‐Mediated Cell 3D In‐Growth on Bone Tissue Engineering Scaffolds
Advanced Science, EarlyView.This study identifies a fundamental pore size dependent pattern of three dimensional bone marrow derived mesenchymal stem cell (BMSC) infiltration within porous scaffolds, where small pores promote horizontal cellular bridging and large pores facilitate vertical migration.
Xiang Gao +15 more
wiley +1 more source
The static energy of a quark-antiquark pair from Laplacian eigenmodes [PDF]
, 2023 Roman Höllwieser +3 more
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On Normalized Signless Laplacian Resolvent Energy
Kragujevac Journal of MathematicsSummary: Let \(G\) be a simple connected graph with \(n\) vertices. Denote by \(\mathcal{L}^+(G) =D(G)^{-1/2}Q(G) D(G)^{-1/2}\) the normalized signless Laplacian matrix of graph \(G\), where \(Q(G)\) and \(D(G)\) are the signless Laplacian and diagonal degree matrices of \(G\), respectively. The eigenvalues of matrix \(\mathcal{L}^+(G)\), \(2=\gamma_1^+
Altindağ, Ş. B. Bozkurt +3 more
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Laplacian coefficients of unicyclic graphs with the number of leaves and girth
, 2013 Let $G$ be a graph of order $n$ and let $\mathcal{L}(G,\lambda)=\sum_{k=0}^n (-1)^{k}c_{k}(G)\lambda^{n-k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ili\'{c} and Ili\'{c}'s conjecture [A. Ili\'{c}, M.
Zhang, Jie, Zhang, Xiao-Dong
core +1 more source
Quantitative Stain Mapping in X‐Ray Virtual Histology
Advanced Science, EarlyView.Virtual histology promises 3D tissue examination without physical sectioning, yet has lacked the tissue‐specificity of conventional pathology. This work demonstrates the first quantitative three‐dimensional stain mapping at histologically relevant resolution, separating contrast agent from tissue to reveal cellular features such as nuclei. The approach
Dominik John +16 more
wiley +1 more source
Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials
Advanced Nonlinear Studies, 2017 In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
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Linear Algebra and its Applications, 2006 The authors introduce the concept of Laplacian energy of a graph \(G\) by letting \(LE(G)=\sum_{i=1}^n | \mu_i - \frac{2m}{n}| \), where \(\mu_i\), \(i=1,\dots,n\), are the eigenvalues of the Laplacian matrix of \(G\). They show that the above definition is well chosen and much in analogy with the usual graph energy \(E(G)\), which is the sum of ...
Gutman, Ivan, Zhou, Bo
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Advanced Intelligent Discovery, EarlyView.Feature selection combined with machine learning and high‐throughput experimentation enables efficient handling of high‐dimensional datasets in emerging photovoltaics. This approach accelerates material discovery, improves process optimization, and strengthens stability prediction, while overcoming challenges in data quality and model scalability to ...
Jiyun Zhang +5 more
wiley +1 more source
High-Energy Eigenfunctions of the Laplacian on the Torus and the Sphere with Nodal Sets of Complicated Topology [PDF]
, 2021 Alberto Enciso +2 more
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