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CORR
2008
Springer
132views Education» more  CORR 2008»
14 years 10 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
APPROX
2008
Springer
83views Algorithms» more  APPROX 2008»
15 years 13 hour 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 1 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»
15 years 10 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»
15 years 10 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