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STOC
2004
ACM
73views Algorithms» more  STOC 2004»
14 years 7 months ago
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree:
Jonathan A. Kelner
FOCS
2009
IEEE
14 years 2 months ago
Higher Eigenvalues of Graphs
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 4 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
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...
ICALP
2007
Springer
14 years 1 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...