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» Generating Random Graphs with Large Girth
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ICML
2010
IEEE
13 years 6 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
ICCTA
2007
IEEE
13 years 9 months ago
What Graphs can be Efficiently Represented by BDDs?
We have carried out experimental research into implicit representation of large graphs using reduced ordered binary decision diagrams (OBDDs). We experimentally show that for grap...
Changxing Dong, Paul Molitor
PDP
2007
IEEE
13 years 11 months ago
Parallel-External Computation of the Cycle Structure of Invertible Cryptographic Functions
We present an algorithm to compute the cycle structure of large directed graphs where each node has exactly one outgoing edge. Such graphs appear as state diagrams of finite stat...
Andreas Beckmann, Jorg Keller
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 5 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
STOC
1994
ACM
125views Algorithms» more  STOC 1994»
13 years 9 months ago
A spectral technique for coloring random 3-colorable graphs (preliminary version)
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
Noga Alon, Nabil Kahale