Results 101 to 110 of about 57,585 (308)
On Laplacian and Normalized Laplacian of a Social Network
International Journal of Innovative Technology and Exploring Engineering, 2019 In the task of structural identification of a network a vital tool is the underlying spectrum associated with the normalized graph Laplacian. To comprehend such spectrum, we need to determine the eigenvalues. In this paper we have found certain useful bounds involving the eigenvalues of both combinatorial Laplacian and normalized Laplacian and applied ...
V. Yegnanarayanan*, S.B. Pravallika
openaire +1 more source
Trapped modes in a waveguide with a thick obstacle [PDF]
, 2004 The problem of finding necessary and sufficient condi-tions for the existence of trapped modes in waveguides has been known since 1943. [10]. The problem is the following: consider an infinite strip M in xs211D2(or an infinite cylinder with the smooth ...
Parnovski, L, Hawkins, H
core
On a connection between the discrete fractional Laplacian and superdiffusion [PDF]
, 2015 We relate the fractional powers of the discrete Laplacian with a standard time-fractional derivative in the sense of Liouville by encoding the iterative nature of the discrete operator through a time-fractional memory term.
Lizama, C. +3 more
core +1 more source
Harnessing Digital Microstructure for Simulation‐Guided Optimization of Permanent Magnets
Advanced Intelligent Discovery, EarlyView.An experimental‐to‐computational workflow is presented that transforms experimental 3D focused ion beam‐scanning electron microscopy data into a simulation‐ready digital microstructure for multiphase functional materials. Using heavy‐rare‐earth‐free Nd–Fe–B magnets as a model system, the approach quantifies grain connectivity across complex secondary ...
Nikita Kulesh +4 more
wiley +1 more source
Coordination‐Driven Direct C─H Metalation of N‐Heterocycles With a Superbasic Co(II) Amide Co(TMP)2
Angewandte Chemie, EarlyView.By enabling regioselectivities that are inaccessible with conventional bases, this study introduces a Co(II) amide platform for the deprotonative C─H metalation of sensitive N‐heterocycles. Subsequent interception of the resulting Co(II) intermediates with external oxidants affords a family of sterically congested, TMP‐substituted heterocycles via C─N ...
Na Jin +3 more
wiley +2 more sources
Laplacian and signless-laplacian energies of closed shadow graphs [PDF]
, 2022 In 2005, I. Gutman and B. Zhou introduced the notion of Laplacian energy, which is defined as the sum of the differences between the Laplacian eigenvalues of the graph and the average degree of vertices in the graph.
Sung, Inseok
core
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Interactive Mesh Segmentation Based On Graph Laplacian [PDF]
, 2011 This paper introduces a novel algorithm that decomposes a given shape into meaningful parts requiring only strokes to specify foreground and background regions.
Gao EY(高恩阳) +2 more
core
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
Dual Activation of H2 and CO2 by a Pincer‐Type Ni–Zn Heterobimetallic Complex
Angewandte Chemie, EarlyView.A bimetallic Ni−Zn complex performs sequential activations of H2 (1 equiv) and CO2 (2 equiv). This bimetallic cooperativity is attributed to the weak Lewis acidic nature of Zn(II), which promotes fluxional ligand binding. Namely, an X‐type ligand at Ni, where X is hydride or formate, toggles between two different binding modes: bridging Zn(μ‐X)Ni and ...
Krishnendu Dey +3 more
wiley +2 more sources