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» On the Number of Birch Partitions
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DCG
2008
88views more  DCG 2008»
12 years 3 months ago
On the Number of Birch Partitions
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This imp...
Stephan Hell
JCT
1998
70views more  JCT 1998»
12 years 3 months ago
Partitions into Distinct Parts and Elliptic Curves
Let Q(N) denote the number of partitions of N into distinct parts. If ω(k) := 3k2 +k 2 , then it is well known that Q(N) + ∞X k=1 (−1)k “ Q(N − 2ω(k)) + Q(N − 2ω(−k)...
Ken Ono
VLDB
1999
ACM
224views Database» more  VLDB 1999»
12 years 7 months ago
Optimal Grid-Clustering: Towards Breaking the Curse of Dimensionality in High-Dimensional Clustering
Many applications require the clustering of large amounts of high-dimensional data. Most clustering algorithms, however, do not work e ectively and e ciently in highdimensional sp...
Alexander Hinneburg, Daniel A. Keim
IDEAS
2006
IEEE
218views Database» more  IDEAS 2006»
12 years 9 months ago
PBIRCH: A Scalable Parallel Clustering algorithm for Incremental Data
We present a parallel version of BIRCH with the objective of enhancing the scalability without compromising on the quality of clustering. The incoming data is distributed in a cyc...
Ashwani Garg, Ashish Mangla, Neelima Gupta, Vasudh...
ARSCOM
2002
70views more  ARSCOM 2002»
12 years 3 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...
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