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WADS
2007
Springer
184views Algorithms» more  WADS 2007»
13 years 10 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Guarding curvilinear art galleries with edge or mobile guards
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves. We consider two types of guards: edge guards (these...
Menelaos I. Karavelas
STOC
2009
ACM
182views Algorithms» more  STOC 2009»
14 years 5 months ago
Approximating edit distance in near-linear time
We show how to compute the edit distance between two strings of length n up to a factor of 2 ~O( log n) in n1+o(1) time. This is the first sub-polynomial approximation algorithm f...
Alexandr Andoni, Krzysztof Onak
JACM
1998
88views more  JACM 1998»
13 years 4 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
13 years 8 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos