Results 81 to 90 of about 79,461 (254)

Spectra of Graphs Resulting from Various Graph Operations and Products: a Survey

Special Matrices, 2018
Let G be a graph on n vertices and A(G), L(G), and |L|(G) be the adjacency matrix, Laplacian matrix and signless Laplacian matrix of G, respectively. The paper is essentially a survey of known results about the spectra of the adjacency, Laplacian and ...
Barik S., Kalita D., Pati S., Sahoo G.
doaj   +1 more source

Locating Eigenvalues of a Symmetric Matrix whose Graph is Unicyclic

Trends in Computational and Applied Mathematics, 2021
We present a linear-time algorithm that computes in a given real interval the number of eigenvalues of any symmetric matrix whose underlying graph is unicyclic.
R. O. Braga, V. M. Rodrigues, R. O. Silva   +2 more
doaj   +1 more source

Establishing Indium in Frustrated Lewis Pair Chemistry: From Synthesis to Catalytic Applications

ChemistryEurope, EarlyView.
Not that hard: The effects of chemical hardness of the soft FLP tBu2InCH2PtBu2 and its pyridine‐adduct tBu2In(py)CH2PtBu2 were examined in adduct formation reactions toward H2, CO2, and CS2. The frustrated Lewis pair shows catalytic activity in the reduction of CO2 with pinacolborane.
Daniel N. Heuer, Jan‐Hendrik Lamm, Hans‐Georg Stammler, Beate Neumann, Andreas Mix, Yury V. Vishnevskiy, Norbert W. Mitzel   +6 more
wiley   +1 more source

Laplacian graph eigenvectors

Linear Algebra and its Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Duality and nonlinear graph Laplacians

Theoretical Computer Science, 2018
We present an iterative algorithm for solving a class of \\nonlinear Laplacian system of equations in $\tilde{O}(k^2m \log(kn/ ))$ iterations, where $k$ is a measure of nonlinearity, $n$ is the number of variables, $m$ is the number of nonzero entries in the graph Laplacian $L$, $ $ is the solution accuracy and $\tilde{O}()$ neglects (non-leading ...
Friedman, Eric J., Landsberg, Adam S.
openaire   +3 more sources

Homological eigenvalues of graph p-Laplacians

Journal of Topology and Analysis, 2023
Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph [Formula: see text]-Laplacian [Formula: see text], which allows us to analyze and classify non-variational eigenvalues. We show the stability of homological eigenvalues, and we prove that for any homological eigenvalue [Formula: see text]
openaire   +2 more sources

Bis‐Dichlorosilyl Functionalized C4‐Cumulene With Unique Bonding Scenario

Chemistry – A European Journal, EarlyView.
Herein, we report a silylene‐functionalized C4‐cumulene (2) and investigate its bonding scenario employing computational methods such as NBO analysis, AIM, and energy decomposition analysis‐natural orbital for chemical valence (EDA‐NOCV). The EDA‐NOCV analysis showed that compound 2 prefers to possess electron‐sharing covalent sigma and dative covalent
Saroj Kumar Kushvaha, Harsha S. Karnamkkott, Sangita Mondal, Paula A. M. Stark, Selvakumar Arumugam, Prakash Chandra Joshi, Sai Manoj N. V. T. Gorantla, Regine Herbst‐Irmer, Kartik Chandra Mondal, Dietmar Stalke, Herbert W. Roesky   +10 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

Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs

Journal of Mathematics, 2022
Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill ...
Jing Wu, Muhammad Arfan Ali, Hafiz Mutee ur Rehman, Yan Dou   +3 more
doaj   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source