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The Smallest Eigenvalue of the Generalized Laplacian Matrix, with Application to Network-Decentralized Estimation for Homogeneous Systems

IEEE Transactions on Network Science and Engineering, 2016
Giulia Giordano   +4 more
semanticscholar   +1 more source

A Geometric Approach to the Laplacian Matrix of a Graph

1993
Let G be a finite undirected connected graph with n vertices. We assign to G an (n - 1)-simplex ∑(G) in the point Euclidean (n - 1)-space in such a way that the Laplacian L(G) of G is the Gram matrix of the outward normals of ∑(G). It is shown that the spectral properties of L(G) are reflected by the geometric shape of the Steiner circumscribed ...
openaire   +2 more sources

On the determinant of the Laplacian matrix of a complex unit gain graph

Discrete Mathematics, 2018
Yi Wang, S. Gong, Yi-Zheng Fan
semanticscholar   +1 more source

The Spectral Radius of the Reciprocal Distance Laplacian Matrix of a Graph

Bulletin of the Iranian Mathematical Society, 2018
R. Bapat, S. Panda
semanticscholar   +1 more source

Laplacian Matrix

Encyclopedia of Machine Learning and Data Mining, 2017

semanticscholar   +1 more source

Method for Estimating the Eigenvectors of a Scaled Laplacian Matrix Using the Resonance of Oscillation Dynamics on Networks

International Conference on Advances in Social Networks Analysis and Mining, 2017
Satoshi Furutani, C. Takano, Masaki Aida
semanticscholar   +1 more source

Proposal of the Network Resonance Method for Estimating Eigenvalues of the Scaled Laplacian Matrix

International Workshop on Intelligent Networking and Collaborative Systems, 2016
Satoshi Furutani, C. Takano, Masaki Aida
semanticscholar   +1 more source

Singularity of Hermitian (quasi-)Laplacian matrix of mixed graphs

Applied Mathematics and Computation, 2017
Guihai Yu, Xin Liu, Hui Qu
semanticscholar   +1 more source

Hermitian Laplacian matrix and positive of mixed graphs

Applied Mathematics and Computation, 2015
Guihai Yu, Hui Qu
semanticscholar   +1 more source

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