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» On Approximating Four Covering and Packing Problems
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PODC
2005
ACM
14 years 27 days ago
Facility location: distributed approximation
In this paper, we initiate the study of the approximability of the facility location problem in a distributed setting. In particular, we explore a trade-off between the amount of...
Thomas Moscibroda, Roger Wattenhofer
ICRA
2006
IEEE
217views Robotics» more  ICRA 2006»
14 years 1 months ago
Complete Coverage Control for Nonholonomic Mobile Robots in Dynamic Environments
— We study the problem of generating continuous steering control for robots to completely cover a bounded region over a finite time. First, we pack the area by disks of minimum ...
Yi Guo, Mohanakrishnan Balakrishnan
PODC
2005
ACM
14 years 27 days ago
On the locality of bounded growth
Many large-scale networks such as ad hoc and sensor networks, peer-to-peer networks, or the Internet have the property that the number of independent nodes does not grow arbitrari...
Fabian Kuhn, Thomas Moscibroda, Roger Wattenhofer
MP
2007
100views more  MP 2007»
13 years 6 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...
FOCS
2004
IEEE
13 years 11 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev