Results 61 to 70 of about 76,384 (242)

Split non-threshold Laplacian integral graphs [PDF]

Linear and Multilinear Algebra, 2010
The aim of this article is to answer a question posed by Merris in European Journal of Combinatorics, 24 (2003) pp. 413 − 430, about the possibility of finding split non-threshold graphs that are Laplacian integral, i.e. graphs for which the eigenvalues of the corresponding Laplacian matrix are integers.
Kirkland, Stephen, de Freitas, Maria Aguieiras Alvarez, Del Vecchio, Renata Raposo, de Abreu, Nair Maria Maia   +3 more
openaire   +2 more sources

Feature Selection for Machine Learning‐Driven Accelerated Discovery and Optimization in Emerging Photovoltaics: A Review

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, Jiayi Tan, Qizhen Song, Tian Du, Jens Hauch, Christoph J. Brabec   +5 more
wiley   +1 more source

Laplacian‎ ‎Coefficients of a‎ ‎Forest in Terms of the Number of Closed Walks in the Forest and its Line Graph [PDF]

Mathematics Interdisciplinary Research
‎In this paper‎, ‎we deal with calculating the laplacian coefficients of a finite simple graph $G$ with the Laplacian polynomial $\psi(G,\lambda) = \sum_{k=0}^{n}(-1)^{n-k}c_k\lambda^k$‎.
Ali Ghalavand, Alireza Ashrafi
doaj   +1 more source

The gamma-Signless Laplacian Adjacency Matrix of Mixed Graphs

Theory and Applications of Graphs, 2023
The α-Hermitian adjacency matrix Hα of a mixed graph X has been recently introduced. It is a generalization of the adjacency matrix of unoriented graphs. In this paper, we consider a special case of the complex number α.
Omar Alomari, Mohammad Abudayah, Manal Ghanem   +2 more
doaj   +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, Anton Bolyachkin, Hajime Nakamura, Tadakatsu Ohkubo, Hossein Sepehri‐Amin   +4 more
wiley   +1 more source

Color signless Laplacian energy of graphs

AKCE International Journal of Graphs and Combinatorics, 2017
In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families
Pradeep G. Bhat, Sabitha D’Souza
doaj   +1 more source

On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs

AKCE International Journal of Graphs and Combinatorics, 2023
In this article, we associate a Hermitian matrix to a multidigraph G. We call it the complex Laplacian matrix of G and denote it by [Formula: see text]. It is shown that the complex Laplacian matrix is a generalization of the Laplacian matrix of a graph.
Sasmita Barik, Sane Umesh Reddy, Gopinath Sahoo   +2 more
doaj   +1 more source

Primer for the algebraic geometry of sandpiles [PDF]

, 2011
The Abelian Sandpile Model (ASM) is a game played on a graph realizing the dynamics implicit in the discrete Laplacian matrix of the graph. The purpose of this primer is to apply the theory of lattice ideals from algebraic geometry to the Laplacian ...
Perkinson, David, Perlman, Jacob, Wilmes, John   +2 more
core  

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

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

On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Journal of New Theory, 2018
We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar, Maruti Mukinda Shikare   +1 more
doaj