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» Partitioning into Sets of Bounded Cardinality
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COMPGEOM
2009
ACM
14 years 2 months ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 7 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
TPDS
1998
122views more  TPDS 1998»
13 years 7 months ago
Managing Statistical Behavior of Large Data Sets in Shared-Nothing Architectures
—Increasingly larger data sets are being stored in networked architectures. Many of the available data structures are not easily amenable to parallel realizations. Hashing scheme...
Isidore Rigoutsos, Alex Delis
RSFDGRC
2009
Springer
119views Data Mining» more  RSFDGRC 2009»
14 years 2 months ago
Interval Set Cluster Analysis: A Re-formulation
A new clustering strategy is proposed based on interval sets, which is an alternative formulation different from the ones used in the existing studies. Instead of using a single s...
Yiyu Yao, Pawan Lingras, Ruizhi Wang, Duoqian Miao
CORR
2011
Springer
145views Education» more  CORR 2011»
13 years 2 months ago
Global Search Based on Efficient Diagonal Partitions and a set of Lipschitz Constants
In the paper, the global optimization problem of a multidimensional “black-box” function satisfying the Lipschitz condition over a hyperinterval with an unknown Lipschitz const...
Yaroslav D. Sergeyev, Dmitri E. Kvasov