Overcoming Dimensionality Constraints: A Gershgorin Circle Theorem-Based Feature Extraction for Weighted Laplacian Matrices in Computer Vision Applications [PDF]
Journal of ImagingIn graph theory, the weighted Laplacian matrix is the most utilized technique to interpret the local and global properties of a complex graph structure within computer vision applications.
Sahaj Anilbhai Patel, Abidin Yildirim
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Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces
Advances in Difference Equations, 2021 We establish new eigenvalue inequalities in terms of the weighted Cheeger constant for drifting p-Laplacian on smooth metric measure spaces with or without boundary.
Abimbola Abolarinwa +2 more
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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 +2 more
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Two Kinds of Laplacian Spectra and Degree Kirchhoff Index of the Weighted Corona Networks
Journal of Mathematics, 2022 Recently, the study related to network has aroused wide attention of the scientific community. Many problems can be usefully represented by corona graphs or networks.
Haiqin Liu, Yanling Shao
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Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group
Advances in Mathematical Physics, 2022 In this paper, we derive a Riccati-type inequality in the Heisenberg group Hn. Based on it, some oscillation criteria are established for the weighted p-sub-Laplacian equations in Hn.
Duan Wu, Pengcheng Niu
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On Eccentricity Version of Laplacian Energy of a Graph [PDF]
Mathematics Interdisciplinary Research, 2017 The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian
Nilanjan De
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An analytical solution to the multicommodity network flow problem with weighted random routing
Applied Network Science, 2021 We derive an analytical expression for the mean load at each node of an arbitrary undirected graph for the non-uniform multicommodity flow problem under weighted random routing. We show the mean load at each node, net of its demand and normalized by its (
Onuttom Narayan, Iraj Saniee
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Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
Analysis and Geometry in Metric Spaces, 2022 We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng +2 more
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European Journal of Mathematical Analysis, 2022 In the present paper, we investigate the stability results of positive weak solution for the generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacian operator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p
Salah A. Khafagy, Hassan M. Serag
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Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces [PDF]
Mathematica Bohemica, 2022 In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the ...
Abdelali Sabri +2 more
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