Results 61 to 70 of about 2,064,253 (190)

Spectral characterizations of sun graphs and broken sun graphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Several matrices can be associated to a graph such as the adjacency matrix or the Laplacian matrix. The spectrum of these matrices gives some informations about the structure of the graph and the question ''Which graphs are determined by their spectrum?''
Romain Boulet
doaj   +1 more source

The Laplacian spectrum of a mixed graph

, 2002
In this paper, we discuss some properties of relations between a mixed graph and its line graph, which are used to characterize the Laplacian spectrum of a mixed graph.
Zhang, Xiao-Dong, Li, Jiong-Sheng
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The Laplacian spread of graphs [PDF]

, 2009
summary:The Laplacian spread of a graph is defined as the difference between the largest and second smallest eigenvalues of the Laplacian matrix of the graph. In this paper, bounds are obtained for the Laplacian spread of graphs. By the Laplacian spread,
Tan, Ying-Ying, Fan, Yi-Zheng, Liu, BoLian, You, Zhifu, Bao, Yan-Hong   +4 more
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Convolution operators and the discrete Laplacian

, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core  

Spectrum of the ∂¯-Neumann Laplacian on the Fock space

, 2013
The spectrum of the ∂¯-Neumann Laplacian on the Fock space L2(Cn,e−|z|2) is explicitly computed. It turns out that it consists of positive integer eigenvalues, each of which is of infinite multiplicity.
Haslinger, Friedrich
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On distance Laplacian energy in terms of graph invariants

, 2023
summary:For a simple connected graph $G$ of order $n$ having distance Laplacian eigenvalues $ \rho ^{L}_{1}\geq \rho ^{L}_{2}\geq \cdots \geq \rho ^{L}_{n}$, the distance Laplacian energy ${\rm DLE} (G)$ is defined as ${\rm DLE} (G)=\sum _{i=1}^{n}|\rho ^
Rather, Bilal A., Ul Shaban, Rezwan, Ganie, Hilal A., Pirzada, Shariefuddin   +3 more
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Spectrum of the Laplacian on the Page metric [PDF]

We numerically construct the spectrum of the Laplacian on Page’s inhomogeneous Einstein metric on CP2#CP―2 by reducing the problem to a (singular) Sturm–Liouville problem in one dimension.
Hennigar, Robie A, Billy Sievers, Kam To, Kunduri, Hari K, Wang, Yiqing   +3 more
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A novel method to construct cospectral graphs based on RT operation [PDF]

AIP Advances
This paper presents a new graph operation, RT(G), which is formed by transforming each vertex and edge of the original graph G into a triangle. We analyze the relationship between the signless Laplacian characteristic polynomials of the graph RT(G) and ...
Xiu-Jian Wang, Xiao-Juan Tang, Jia-Bao Liu   +2 more
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The spectrum of the Laplacian on forms.

, 2017
The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been extensively studied. It is known that on hyperbolic space a spectral gap appears, whereas is has been conjectured that on manifolds with uniformly ...
Charalambous, Nelia
core  

Social Community Classification Based on Laplacian Spectrum Feature

, 2011
Community structure is a common property that exists in social networks. Community structure analysis is important for understanding network structure and analyzing the network characteristics.
Yao Ming Zhou, Bo Wang, Yi Qiong Xu
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