COMBINATORICS 1999 | Sciweavers

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COMBINATORICS
1999

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Positivity for special cases of (q, t)-Kostka coefficients and standard tableaux statistics

13 years 4 months ago

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

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COMBINATORICS
1999

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Perfect Factorisations of Bipartite Graphs and Latin Squares Without Proper Subrectangles

13 years 4 months ago

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Ian M. Wanless

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COMBINATORICS
1999

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Stability of Kronecker Products of Irreducible Characters of the Symmetric Group

13 years 4 months ago

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F. Murnaghan observed a long time ago that the computation of the decompositon of the Kronecker product (n-a,2,... ) (n-b,

Ernesto Vallejo

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COMBINATORICS
1999

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A Multiple Integral Evaluation Inspired by the Multi-WZ Method

13 years 4 months ago

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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

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COMBINATORICS
1999

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On the Structure and Classification of SOMAs: Generalizations of Mutually Orthogonal Latin Squares

13 years 4 months ago

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Let k 0 and n 2 be integers. A SOMA, or more specifically a SOMA(k, n), is an n

Leonard H. Soicher

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COMBINATORICS
1999

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Improved LP Lower Bounds for Difference Triangle Sets

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James B. Shearer

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COMBINATORICS
1999

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On a Conjecture Concerning Dyadic Oriented Matroids

13 years 4 months ago

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A rational matrix is totally dyadic if all of its nonzero subdeterminants are in {

Matt Scobee

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COMBINATORICS
1999

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Permutation Patterns and Continued Fractions

13 years 4 months ago

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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

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COMBINATORICS
1999

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New Lower Bounds for Some Multicolored Ramsey Numbers

13 years 4 months ago

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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

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COMBINATORICS
1999

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Nim-Regularity of Graphs

13 years 4 months ago