Results 111 to 120 of about 67,630 (266)
On the neighbourhood degree sum-based Laplacian energy of graphs
A useful extension of the Laplacian matrix is proposed here and the corresponding modification of the Laplacian energy (LE) is presented. The neighbourhood degree sum-based Laplacian energy (LNE) is produced by means of the eigenvalues of the newly ...
doaj +1 more source
Positive Solutions of a Kind of Equations Related to the Laplacian and p-Laplacian
Positive solutions of a kind of equations related to the Laplacian and p-Laplacian on a bounded domain in RN with N⩾1 are studied by using variational method.
Fangfang Zhang, Zhanping Liang
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ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
wiley +1 more source
Abstract INTRODUCTION Alzheimer's disease (AD) is a heterogeneous disease with diverse disease progression trajectories and brain pathology. Identifying AD subtypes is essential for understanding AD etiology, heterogeneity, and developing precise treatment. METHODS We applied a subspace‐merging algorithm to integrate multi‐omics data from brain tissues
Ziyan Song +5 more
wiley +1 more source
Spectra of Graphs Resulting from Various Graph Operations and Products: a Survey
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
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Lower Bounds for Laplacian and Fractional Laplacian Eigenvalues
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Wei, Guoxin +2 more
openaire +2 more sources
Location‐Assisted Graph‐Based User Scheduling in Multi‐User MIMO LEO NTN Systems
ABSTRACT This paper addresses user clustering and scheduling for multi‐user MIMO low Earth orbit nonterrestrial network systems in full frequency reuse. Since the number of on‐ground user terminals is usually much higher than the number of on‐board LEO satellite antennas, user scheduling becomes a fundamental task.
Bilal Ahmad +4 more
wiley +1 more source
Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
doaj +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 ...
Haemers, W.H., Omidi, G.R.
core +1 more source

