Results 31 to 40 of about 13,640 (282)
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 +3 more
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Novel Concept of Energy in Bipolar Single-Valued Neutrosophic Graphs with Applications
Axioms, 2021 The energy of a graph is defined as the sum of the absolute values of its eigenvalues. Recently, there has been a lot of interest in graph energy research.
Siti Nurul Fitriah Mohamad +3 more
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Graph Laplacian Learning with Exponential Family Noise. [PDF]
IEEE Trans Signal Inf Process NetwGraph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the graph frequency ...
Shi C, Mishne G.
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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 $\tilde{O}(k^2m \log(kn/ε))$ 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 $L$, $ε$ is the solution accuracy and $\tilde{O}()$ neglects (non-leading ...
Eric J. Friedman, Adam Scott Landsberg
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Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020 The traditional graph Laplacian model has been widely used in many computer vision tasks. The small target detection technique is one of the most challenging computer vision tasks in various practical applications.
Chaoqun Xia +3 more
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Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph
Complexity, 2021 In this paper, we give the relation between the spectrum of strongly regular graph and its clique-inserted graph. The Laplacian spectrum and the signless Laplacian spectrum of clique-inserted graph of strongly regular graph are calculated.
Chun-Li Kan +3 more
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On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$
Karpatsʹkì Matematičnì Publìkacìï, 2021 For a finite commutative ring $\mathbb{Z}_{n}$ with identity $1\neq 0$, the zero divisor graph $\Gamma(\mathbb{Z}_{n})$ is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices $x$ and $y$ are adjacent if and
S. Pirzada, B.A. Rather, T.A. Chishti
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On the Seidel Laplacian spectrum of threshold graphs [PDF]
Journal of HyperstructuresA graph which does not contain C4, P4, or 2K2 as its induced subgraphs, is called a threshold graph. In this paper, we consider seidel laplacian matrix of a connected threshold graph and determine the seidel laplacian spectrum. Also, the characterization
Megha P M, Parvathy K S
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Some properties of the distance Laplacian eigenvalues of a graph [PDF]
, 2014 summary:The distance Laplacian of a connected graph $G$ is defined by $\mathcal {L} = {\rm Diag(Tr)}- \mathcal {D}$, where $\mathcal {D}$ is the distance matrix of $G$, and ${\rm Diag(Tr)}$ is the diagonal matrix whose main entries are the vertex ...
Aouchiche, Mustapha, Hansen, Pierre
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