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ARSCOM
2007
88views more  ARSCOM 2007»
13 years 7 months ago
On the partition dimension and connected partition dimension of wheels
Ioan Tomescu, Imran Javaid, Slamin
CIDU
2010
13 years 5 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...
ADCM
2008
119views more  ADCM 2008»
13 years 6 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 7 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
IPL
2006
109views more  IPL 2006»
13 years 7 months ago
The number of guillotine partitions in d dimensions
Guillotine partitions play an important role in many research areas and application domains, e.g., computational geometry, computer graphics, integrated circuit layout, and solid ...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter, Dan R...