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» Resolvent of large random graphs
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ICML
2010
IEEE
13 years 8 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
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
14 years 1 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
CPC
2007
76views more  CPC 2007»
13 years 7 months ago
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Svante Janson, Joel Spencer
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 7 months ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera