Results 111 to 120 of about 57,585 (308)

Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs

AKCE International Journal of Graphs and Combinatorics, 2018
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj   +1 more source

On graphs with the largest Laplacian index [PDF]

, 2008
summary:Let $G$ be a connected simple graph on $n$ vertices. The Laplacian index of $G$, namely, the greatest Laplacian eigenvalue of $G$, is well known to be bounded above by $n$.
Chen, Zhibo, Liu, BoLian, Liu, Muhuo
core  

Maximum principles for Laplacian and fractional Laplacian with critical integrability [PDF]

, 2022
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order term and first order term. It is well known that for the Laplacian with zero
Li, Congming, Lü, Yingshu
core   +1 more source

Toward Intelligent Multimodal Holography for Real‐Time Chemical Imaging of Dynamic Ion Separation

Advanced Intelligent Discovery, EarlyView.
Intelligent multimodal holography integrates digital off‐axis holography, spectroscopic imaging, and AI‐driven reconstruction to visualize ion transport and chemical dynamics in real time. In this perspective paper, we outline how this approach enables label‐free, chemically specific monitoring of complex environments and discuss its potential to ...
Giovanna Ricchiuti, Sarah I. Allec, Maxim Ziatdinov, Venkateshkumar Prabhakaran   +3 more
wiley   +1 more source

Universal Adjacency Matrices with Two Eigenvalues [PDF]

AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
core   +1 more source

Comparison of alternative image representations in the context of SAR change detection [PDF]

, 2010
This article compares four different alternative image representations in the context of a structure-based change detection. The framework is taken from the already published Curvelet-based change detection approach.
Roth, Achim, Andreas Schmitt, Schmitt, Andreas, Anna Wendleder, Achim Roth, Birgit Wessel, Wessel, Birgit, Wendleder, Anna   +7 more
core   +1 more source

Uncertainty‐Guided Selective Adaptation Enables Cross‐Platform Predictive Fluorescence Microscopy

Advanced Intelligent Discovery, EarlyView.
Deep learning models often fail when transferred to new microscopes. A novel framework overcomes this by selectively adapting the early layers governing low‐level image statistics, while freezing deep layers that encode morphology. This uncertainty‐guided approach enables robust, label‐free virtual staining across diverse systems, democratizing ...
Kai‐Wen K. Yang, Andrew Bai, Alexandra Bermudez, Yunqi Hong, Zoe Latham, Iris Sloan, Michael Liu, Vishrut Goyal, Cho‐Jui Hsieh, Neil Y. C. Lin   +9 more
wiley   +1 more source

Constructably Laplacian integral graphs [PDF]

, 2007
A graph is Laplacian integral if the spectrum of its Laplacian matrix consists entirely of integers. We consider the class of constructably Laplacian integral graphs – those graphs that be constructed from an empty graph by adding a sequence of edges in ...
Kirkland, Steve
core   +1 more source

From Data to Discovery: Machine Learning–Enabled Intelligent Characterization of Two‐Dimensional Materials

Advanced Intelligent Discovery, EarlyView.
Machine learning serves as a central engine for the intelligent characterization of two‐dimensional materials by integrating multimodal techniques, including optical microscopy, spectroscopy, electron microscopy, and scanning probe microscopy (SPM). This unified framework enables automated, high‐throughput, and quantitative extraction of structural ...
Zhi‐Long Cao, Jia‐Xu Yan
wiley   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source