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CORR
2008
Springer
132views Education» more  CORR 2008»
15 years 2 months ago
Betweenness Centrality : Algorithms and Lower Bounds
One of the most fundamental problems in large-scale network analysis is to determine the importance of a particular node in a network. Betweenness centrality is the most widely us...
Shiva Kintali
112
Voted
APPROX
2008
Springer
83views Algorithms» more  APPROX 2008»
15 years 4 months ago
Sampling Hypersurfaces through Diffusion
Abstract. We are interested in efficient algorithms for generating random samples from geometric objects such as Riemannian manifolds. As a step in this direction, we consider the ...
Hariharan Narayanan, Partha Niyogi
COCOON
2007
Springer
15 years 6 months ago
An Improved Algorithm for Online Unit Clustering
Abstract. We revisit the online unit clustering problem in one dimension which we recently introduced at WAOA'06: given a sequence of n points on the line, the objective is to...
Hamid Zarrabi-Zadeh, Timothy M. Chan
STOC
2004
ACM
89views Algorithms» more  STOC 2004»
16 years 2 months ago
Hit-and-run from a corner
We show that the hit-and-run random walk mixes rapidly starting from any interior point of a convex body. This is the first random walk known to have this property. In contrast, t...
László Lovász, Santosh Vempal...
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
16 years 2 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore