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» On the number of rectangular partitions
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COMBINATORICS
2004
70views more  COMBINATORICS 2004»
13 years 7 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»
13 years 2 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
13 years 11 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»
13 years 7 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»
13 years 7 months 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