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» The Guarding Problem - Complexity and Approximation
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STACS
2007
Springer
15 years 10 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler
ICCAD
1999
IEEE
181views Hardware» more  ICCAD 1999»
15 years 9 months ago
A new heuristic for rectilinear Steiner trees
The minimum rectilinear Steiner tree (RST) problem is one of the fundamental problems in the field of electronic design automation. The problem is NP-hard, and much work has been ...
Ion I. Mandoiu, Vijay V. Vazirani, Joseph L. Ganle...
COMPGEOM
2004
ACM
15 years 8 months ago
Continuous path verification in multi-axis NC-machining
We introduce a new approach to the problem of collision detection between a rotating milling-cutter of an NC-machine and a model of a solid workpiece, as the rotating cutter conti...
Ron Wein, Oleg Ilushin, Gershon Elber, Dan Halperi...
PSB
2004
15 years 6 months ago
Multiplexing Schemes for Generic SNP Genotyping Assays
Association studies in populations relate genomic variation among individuals with medical condition. Key to these studies is the development of efficient and affordable genotypin...
Roded Sharan, Amir Ben-Dor, Zohar Yakhini
ECCC
2006
88views more  ECCC 2006»
15 years 4 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna