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» A major index for matchings and set partitions
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JCT
2008
53views more  JCT 2008»
13 years 4 months ago
A major index for matchings and set partitions
We introduce a statistic pmaj(P) for partitions of [n], and show that it is equidistributed with cr2, the number of 2-crossings, over all partitions of [n] with given sets of mini...
William Y. C. Chen, Ira M. Gessel, Catherine H. Ya...
JCT
2010
82views more  JCT 2010»
13 years 3 months ago
Major index for 01-fillings of moon polyominoes
We propose a major index statistic on 01-fillings of moon polyominoes which, when specialized to certain shapes, reduces to the major index for permutations and set partitions. W...
William Y. C. Chen, Svetlana Poznanovic, Catherine...
DEXAW
2006
IEEE
153views Database» more  DEXAW 2006»
13 years 11 months ago
Extracting Partition Statistics from Semistructured Data
The effective grouping, or partitioning, of semistructured data is of fundamental importance when providing support for queries. Partitions allow items within the data set that sh...
John N. Wilson, Richard Gourlay, Robert Japp, Math...
ISCAS
1999
IEEE
124views Hardware» more  ISCAS 1999»
13 years 9 months ago
On the robustness of vector set partitioning image coders to bit errors
A vector enhancement of Said and Pearlman's Set Partitioning in Hierarchical Trees (SPIHT) methodology, named VSPIHT, has recently been proposed for embedded wavelet image co...
D. Mukherjee, S. K. Mitra
SIGMOD
2009
ACM
191views Database» more  SIGMOD 2009»
14 years 5 months ago
Scalable skyline computation using object-based space partitioning
The skyline operator returns from a set of multi-dimensional objects a subset of superior objects that are not dominated by others. This operation is considered very important in ...
Shiming Zhang, Nikos Mamoulis, David W. Cheung