DMTCS
2010
13 years 9 months ago
2010
Using the saddle point method, we obtain from the generating function of the Stirling numbers of the first kind n j and Cauchy's integral formula, asymptotic results in centr...
JCT
2010
13 years 10 months ago
2010
A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited. Prudent walks differ from most classes of SAW that ha...
COMBINATORICS
1999
13 years 11 months ago
1999
We find, in the form of a continued fraction, the generating function for the number of (132)-avoiding permutations that have a given number of (123) patterns, and show how to ext...
COMBINATORICS
1999
13 years 11 months ago
1999
Kasteleyn stated that the generating function of the perfect matchings of a graph of genus g may be written as a linear combination of 4g Pfaffians. Here we prove this statement. ...
DM
1998
13 years 11 months ago
1998
We study basis partitions, introduced by Hansraj Gupta in 1978. For this family of partitions, we give a recurrence, a generating function, identities relating basis partitions to...
DM
1998
13 years 11 months ago
1998
We introduce three deÿnitions of q-analogs of Motzkin numbers and illustrate some combinatorial interpretations of these q-numbers. We relate the ÿrst class of q-numbers to the ...
COMBINATORICS
1998
13 years 11 months ago
1998
Using Zeilberger’s factorization of two-stack-sortable permutations, we write a functional equation — of a strange sort — that defines their generating function according t...
COMBINATORICS
2002
13 years 11 months ago
2002
Based on Sch
COMBINATORICS
2004
13 years 11 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 ...
PE
2008
Springer
13 years 11 months ago
2008
Springer
We present the transient analysis of the system content in a two-class discrete-time MX /D/1 priority queue. In particular, we derive an expression for the generating function of ...