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» On the distribution of eigenvalues of graphs
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PKDD
2005
Springer
155views Data Mining» more  PKDD 2005»
15 years 2 months ago
Realistic, Mathematically Tractable Graph Generation and Evolution, Using Kronecker Multiplication
How can we generate realistic graphs? In addition, how can we do so with a mathematically tractable model that makes it feasible to analyze their properties rigorously? Real graphs...
Jure Leskovec, Deepayan Chakrabarti, Jon M. Kleinb...
EJC
2007
14 years 9 months ago
Nonsingular mixed graphs with few eigenvalues greater than two
Let G be a nonsingular connected mixed graph. We determine the mixed graphs G on at least seven vertices with exactly two Laplacian eigenvalues greater than 2. In addition, all mi...
Yi-Zheng Fan, Shi-Cai Gong, Jun Zhou, Ying-Ying Ta...
FOCS
2009
IEEE
15 years 4 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...
CAI
2007
Springer
15 years 3 months ago
The Second Eigenvalue of Random Walks On Symmetric Random Intersection Graphs
Abstract. In this paper we examine spectral properties of random intersection graphs when the number of vertices is equal to the number of labels. We call this class symmetric rand...
Sotiris E. Nikoletseas, Christoforos Raptopoulos, ...
IPPS
2002
IEEE
15 years 2 months ago
High-Performance Parallel and Distributed Computing for the BMI Eigenvalue Problem
The BMI Eigenvalue Problem is one of optimization problems and is to minimize the greatest eigenvalue of a bilinear matrix function. This paper proposes a parallel algorithm to co...
Kento Aida, Yoshiaki Futakata, Shinji Hara