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COMBINATORICS
1999
100views more  COMBINATORICS 1999»
13 years 11 months ago
Positivity for special cases of (q, t)-Kostka coefficients and standard tableaux statistics
We present two symmetric function operators Hqt 3 and Hqt 4 that have the property Hqt mH(2a1b)(X; q, t) = H(m2a1b)(X; q, t). These operators are generalizations of the analogous ...
Mike Zabrocki
COMBINATORICS
1999
75views more  COMBINATORICS 1999»
13 years 11 months ago
Stability of Kronecker Products of Irreducible Characters of the Symmetric Group
F. Murnaghan observed a long time ago that the computation of the decompositon of the Kronecker product (n-a,2,... ) (n-b,
Ernesto Vallejo
COMBINATORICS
1999
77views more  COMBINATORICS 1999»
13 years 11 months ago
A Multiple Integral Evaluation Inspired by the Multi-WZ Method
We give an integral identity which was conjectured and proved by using the continuous version of the multi-WZ method. Submitted: May 25, 1999; Accepted: October 20, 1999. Mathemat...
Akalu Tefera
COMBINATORICS
1999
98views more  COMBINATORICS 1999»
13 years 11 months ago
On the Structure and Classification of SOMAs: Generalizations of Mutually Orthogonal Latin Squares
Let k 0 and n 2 be integers. A SOMA, or more specifically a SOMA(k, n), is an n
Leonard H. Soicher
COMBINATORICS
1999
85views more  COMBINATORICS 1999»
13 years 11 months ago
On a Conjecture Concerning Dyadic Oriented Matroids
A rational matrix is totally dyadic if all of its nonzero subdeterminants are in {
Matt Scobee
COMBINATORICS
1999
85views more  COMBINATORICS 1999»
13 years 11 months ago
Permutation Patterns and Continued Fractions
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...
Aaron Robertson, Herbert S. Wilf, Doron Zeilberger
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
13 years 11 months ago
New Lower Bounds for Some Multicolored Ramsey Numbers
In this article we use two different methods to find new lower bounds for some multicolored Ramsey numbers. In the first part we use the finite field method used by Greenwood and ...
Aaron Robertson
COMBINATORICS
1999
92views more  COMBINATORICS 1999»
13 years 11 months ago
Nim-Regularity of Graphs
Abstract. Ehrenborg and Steingr
Nathan Reading