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» On the distribution of eigenvalues of graphs
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CDC
2009
IEEE
104views Control Systems» more  CDC 2009»
15 years 4 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
WG
2004
Springer
15 years 5 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
CORR
2010
Springer
89views Education» more  CORR 2010»
14 years 11 months 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...
JCT
2008
85views more  JCT 2008»
14 years 11 months 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
198views Education» more  CORR 2010»
14 years 8 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...