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» The Cover Time, the Blanket Time, and the Matthews Bound
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FOCS
2008
IEEE
15 years 4 months ago
Constant-Time Approximation Algorithms via Local Improvements
We present a technique for transforming classical approximation algorithms into constant-time algorithms that approximate the size of the optimal solution. Our technique is applic...
Huy N. Nguyen, Krzysztof Onak
IVC
2000
179views more  IVC 2000»
14 years 9 months ago
A system to place observers on a polyhedral terrain in polynomial time
The Art Gallery Problem deals with determining the number of observers necessary to cover an art gallery room such that every point is seen by at least one observer. This problem ...
Maurício Marengoni, Bruce A. Draper, Allen ...
ICALP
2011
Springer
14 years 1 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
DCG
2007
71views more  DCG 2007»
14 years 9 months ago
Covering Spheres with Spheres
Given a sphere of any radius r in an n-dimensional Euclidean space, we study the coverings of this sphere with solid spheres of radius one. Our goal is to design a covering of the...
Ilya Dumer
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
14 years 9 months ago
The Power of Priority Algorithms for Facility Location and Set Cover
We apply and extend the priority algorithm framework introduced by Borodin, Nielsen, and Rackoff to define "greedy-like" algorithms for the (uncapacitated) facility locat...
Spyros Angelopoulos, Allan Borodin