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» Partitioning into Sets of Bounded Cardinality
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IPL
2008
80views more  IPL 2008»
13 years 8 months ago
Path partitions of hypercubes
A path partition of a graph G is a set of vertex-disjoint paths that cover all vertices of G. Given a set P = {{ai, bi}}m i=1 of pairs of distinct vertices of the n-dimensional hy...
Petr Gregor, Tomás Dvorák
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 8 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
CIDU
2010
13 years 6 months ago
Optimal Partitions of Data In Higher Dimensions
Given any collection of data cells in a data space X, consider the problem of finding the optimal partition of the data cells into blocks which are unions of cells. The algorithms...
Bradley W. Jackson, Jeffrey D. Scargle, Chris Cusa...
JMMA
2010
90views more  JMMA 2010»
13 years 3 months ago
A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions
An original algorithm is presented that generates both restricted integer compositions and restricted integer partitions that can be constrained simultaneously by a) upper and low...
John Douglas Opdyke
ANOR
2011
117views more  ANOR 2011»
13 years 11 days ago
A simple and effective algorithm for the MaxMin diversity problem
The challenge of maximizing the diversity of a collection of points arises in a variety of settings, including the setting of search methods for hard optimization problems. One ver...
Daniel Cosmin Porumbel, Jin-Kao Hao, Fred Glover