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» On the number of rectangular partitions
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COMBINATORICS
2004
70views more  COMBINATORICS 2004»
15 years 1 months ago
On a Partition Function of Richard Stanley
In this paper, we examine partitions classified according to the number r() of odd parts in and s() the number of odd parts in , the conjugate of . The generating function for ...
George E. Andrews
DM
2011
188views Education» more  DM 2011»
14 years 8 months ago
Singletons and adjacencies of set partitions of type B
We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type Bn without zero-block, in analo...
William Y. C. Chen, David G. L. Wang
SARA
2000
Springer
15 years 4 months ago
Improving the Efficiency of Reasoning Through Structure-Based Reformulation
We investigate the possibility of improving the efficiency of reasoning through structure-based partitioning of logical theories, combined with partitionbased logical reasoning str...
Eyal Amir, Sheila A. McIlraith
COMBINATORICS
2006
130views more  COMBINATORICS 2006»
15 years 1 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts
JCT
2002
84views more  JCT 2002»
15 years 28 days ago
Binary Partitions Revisited
The restricted binary partition function bk(n) enumerates the number of ways to represent n as n = 2a0 + 2a1 +
Øystein J. Rødseth, James A. Sellers