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COMBINATORICA
2000
105views more  COMBINATORICA 2000»
13 years 7 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 7 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»
14 years 25 days 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,...
APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
14 years 1 months ago
Derandomized Squaring of Graphs
We introduce a “derandomized” analogue of graph squaring. This operation increases the connectivity of the graph (as measured by the second eigenvalue) almost as well as squar...
Eyal Rozenman, Salil P. Vadhan
LATIN
1998
Springer
13 years 12 months ago
Spectral Techniques in Graph Algorithms
The existence of efficient algorithms to compute the eigenvectors and eigenvalues of graphs supplies a useful tool for the design of various graph algorithms. In this survey we de...
Noga Alon