16 search results - page 1 / 4 » On a Partition Function of Richard Stanley |
COMBINATORICS
2004
13 years 4 months ago
2004
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 ...
JCT
2002
13 years 4 months ago
2002
DCG
2002
2002
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
13 years 4 months ago
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
COMBINATORICS
2002
13 years 4 months ago
2002
The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parki...
COMBINATORICS
2004
13 years 4 months ago
2004
We give a basis for the space spanned by the sum ^s of the lowest degree terms in the expansion of the Schur symmetric functions s in terms of the power sum