Results 131 to 140 of about 57,585 (308)

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

Special Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Optimal graph Laplacian

Automatica, 2019
This paper provides a construction method of the nearest graph Laplacian to a matrix identified from measurement data of graph Laplacian dynamics that include biochemical systems, synchronization systems, and multi-agent systems. We consider the case where the network structure, i.e., the connection relationship of edges of a given graph, is known.
openaire   +2 more sources

On the second Laplacian spectral moment of a graph [PDF]

, 1984
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}({\it 131}) (2006), 1207--1213) gave the definition of Laplacian energy of a graph $G$ and proved $LE(G)\geq 6n-8$; equality holds if and only if $G=P_n$.
Liu, Ying, Brualdi, Richard A, Goldwasser, John L, Sun, Yu Qin   +3 more
core   +1 more source

On the Eigenvalues and Energy of the Seidel and Seidel Laplacian Matrices of Graphs

Discrete Dynamics in Nature and Society
Let SΓ be a Seidel matrix of a graph Γ of order n and let DΓ=diagn−1−2d1,n−1−2d2,…,n−1−2dn be a diagonal matrix with di denoting the degree of a vertex vi in Γ. The Seidel Laplacian matrix of Γ is defined as SLΓ=DΓ−SΓ.
J. Askari, Kinkar Chandra Das, Yilun Shang   +2 more
doaj   +1 more source

Developments on Spectral Characterizations of Graphs [PDF]

In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
core   +1 more source

A multiplicity theorem for problems with the p-Laplacian [PDF]

, 2007
We consider a nonlinear elliptic problem driven by the p-Laplacian, with a parameter λ∈R and a nonlinearity exhibiting a superlinear behavior both at zero and at infinity.
Papageorgiou, EH, Papageorgiou, NS, Papageorgiou, Nikolaos S., Evgenia H. Papageorgiou, Nikolaos S. Papageorgiou, Papageorgiou, Evgenia H.   +5 more
core   +1 more source

Oscillatory Property of Solutions for p(t)-Laplacian Equations

Journal of Inequalities and Applications, 2007
We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
doaj   +1 more source

Inertias of Laplacian matrices of weighted signed graphs

Special Matrices, 2019
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia.
Monfared K. Hassani, MacGillivray G., Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

Resolvent kernel for the Kohn Laplacian on Heisenberg groups

Electronic Journal of Differential Equations, 2002
We present a formula that relates the Kohn Laplacian on Heisenberg groups and the magnetic Laplacian. Then we obtain the resolvent kernel for the Kohn Laplacian and find its spectral density.
Neur Eddine Askour, Zouhair Mouayn
doaj  

Estimate Laplacian Spectral Properties of Large-Scale Networks by Random Walks and Graph Transformation

Mathematics
For network graphs, numerous graph features are intimately linked to eigenvalues of the Laplacian matrix, such as connectivity and diameter. Thus, it is very important to solve eigenvalues of the Laplacian matrix for graphs.
Changlei Zhan, Xiangyu Li, Jie Chen
doaj   +1 more source