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APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
14 years 1 months ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
FOCS
2009
IEEE
14 years 2 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
INFOCOM
2006
IEEE
14 years 1 months ago
Distributed Navigation Algorithms for Sensor Networks
— We propose efficient distributed algorithms to aid navigation of a user through a geographic area covered by sensors. The sensors sense the level of danger at their locations ...
Chiranjeeb Buragohain, Divyakant Agrawal, Subhash ...
VLDB
2005
ACM
82views Database» more  VLDB 2005»
14 years 1 months ago
Stack-based Algorithms for Pattern Matching on DAGs
Existing work for query processing over graph data models often relies on pre-computing the transitive closure or path indexes. In this paper, we propose a family of stack-based a...
Li Chen, Amarnath Gupta, M. Erdem Kurul