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» The metamathematics of random graphs
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117
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CORR
2004
Springer
83views Education» more  CORR 2004»
15 years 1 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman
142
Voted
SDM
2010
SIAM
213views Data Mining» more  SDM 2010»
15 years 3 months ago
Spectral Analysis of Signed Graphs for Clustering, Prediction and Visualization
We study the application of spectral clustering, prediction and visualization methods to graphs with negatively weighted edges. We show that several characteristic matrices of gra...
Jérôme Kunegis, Stephan Schmidt, Andr...
ICML
2010
IEEE
15 years 2 months ago
Finding Planted Partitions in Nearly Linear Time using Arrested Spectral Clustering
We describe an algorithm for clustering using a similarity graph. The algorithm (a) runs in O(n log3 n + m log n) time on graphs with n vertices and m edges, and (b) with high pro...
Nader H. Bshouty, Philip M. Long
KDD
2012
ACM
196views Data Mining» more  KDD 2012»
13 years 4 months ago
Chromatic correlation clustering
We study a novel clustering problem in which the pairwise relations between objects are categorical. This problem can be viewed as clustering the vertices of a graph whose edges a...
Francesco Bonchi, Aristides Gionis, Francesco Gull...
143
Voted
KAIS
2011
129views more  KAIS 2011»
14 years 8 months ago
Counting triangles in real-world networks using projections
Triangle counting is an important problem in graph mining. Two frequently used metrics in complex network analysis which require the count of triangles are the clustering coefficie...
Charalampos E. Tsourakakis