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CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 7 months ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 11 months ago
Spectral methods for the detection of network community structure: a comparative analysis
Spectral analysis has been successfully applied to the detection of community structure of networks, respectively being based on the adjacency matrix, the standard Laplacian matrix...
Hua-Wei Shen, Xue-Qi Cheng
JCP
2006
102views more  JCP 2006»
14 years 11 days ago
Efficient Formulations for 1-SVM and their Application to Recommendation Tasks
The present paper proposes new approaches for recommendation tasks based on one-class support vector machines (1-SVMs) with graph kernels generated from a Laplacian matrix. We intr...
Yasutoshi Yajima, Tien-Fang Kuo
JCT
2008
85views more  JCT 2008»
14 years 12 days ago
Smith normal form and Laplacians
Let M denote the Laplacian matrix of a graph G. Associated with G is a finite group (G), obtained from the Smith normal form of M, and whose order is the number of spanning trees o...
Dino J. Lorenzini
CORR
2010
Springer
89views Education» more  CORR 2010»
14 years 15 days ago
Distributed Control of the Laplacian Spectral Moments of a Network
It is well-known that the eigenvalue spectrum of the Laplacian matrix of a network contains valuable information about the network structure and the behavior of many dynamical proc...
Victor M. Preciado, Michael M. Zavlanos, Ali Jadba...
CDC
2009
IEEE
104views Control Systems» more  CDC 2009»
14 years 5 months ago
Moment-based analysis of synchronization in small-world networks of oscillators
— In this paper, we investigate synchronization in a small-world network of coupled nonlinear oscillators. This network is constructed by introducing random shortcuts in a neares...
Victor M. Preciado, Ali Jadbabaie
SPAA
2005
ACM
14 years 6 months ago
Finding effective support-tree preconditioners
In 1995, Gremban, Miller, and Zagha introduced supporttree preconditioners and a parallel algorithm called supporttree conjugate gradient (STCG) for solving linear systems of the ...
Bruce M. Maggs, Gary L. Miller, Ojas Parekh, R. Ra...
ICPR
2008
IEEE
14 years 6 months ago
Feature Extraction base on Local Maximum Margin Criterion
Maximum Margin Criterion (MMC) based Feature Extraction method is more efficient than LDA for calculating the discriminant vectors since it does not need to calculate the inverse ...
Wankou Yang, Jianguo Wang, Mingwu Ren, Jingyu Yang