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» On Covering Problems of Rado
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STOC
1999
ACM
123views Algorithms» more  STOC 1999»
15 years 4 months ago
Covering Rectilinear Polygons with Axis-Parallel Rectangles
We give an O( log n) factor approximation algorithm for covering a rectilinear polygon with holes using axis-parallel rectangles. This is the first polynomial time approximation a...
V. S. Anil Kumar, H. Ramesh
ICALP
2010
Springer
15 years 4 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 5 months ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...
PODC
2005
ACM
15 years 5 months ago
Primal-dual based distributed algorithms for vertex cover with semi-hard capacities
In this paper we consider the weighted, capacitated vertex cover problem with hard capacities (capVC). Here, we are given an undirected graph G = (V, E), non-negative vertex weigh...
Fabrizio Grandoni, Jochen Könemann, Alessandr...
ICPR
2006
IEEE
16 years 28 days ago
A Minimum Sphere Covering Approach to Pattern Classification
In this paper we present a minimum sphere covering approach to pattern classification that seeks to construct a minimum number of spheres to represent the training data and formul...
Jigang Wang, Predrag Neskovic, Leon N. Cooper