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COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 6 months ago
The Spectral Radius of Subgraphs of Regular Graphs
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and finite di...
Vladimir Nikiforov
COMBINATORICS
2007
100views more  COMBINATORICS 2007»
13 years 6 months ago
Revisiting Two Classical Results on Graph Spectra
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) If H is a proper subgraph of a connected graph G o...
Vladimir Nikiforov
COMBINATORICA
2000
105views more  COMBINATORICA 2000»
13 years 6 months ago
On Cayley Graphs on the Symmetric Group Generated by Tranpositions
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Joel Friedman
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 6 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
GECCO
2003
Springer
100views Optimization» more  GECCO 2003»
13 years 12 months ago
Dense and Switched Modular Primitives for Bond Graph Model Design
This paper suggests dense and switched modular primitives for a bond-graph-based GP design framework that automatically synthesizes designs for multi-domain, lumped parameter dynam...
Kisung Seo, Zhun Fan, Jianjun Hu, Erik D. Goodman,...