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COMBINATORICS
1999
14 years 9 months ago
1999
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 ...
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COMBINATORICS
1999
14 years 9 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. ...
COMBINATORICS
1999
14 years 9 months ago
1999
The parameters 2 - (2 + 2, + 1, ) are those of a residual Hadamard 2 (4 + 3, 2 + 1, ) design. All 2 - (2 + 2, + 1, ) designs with 4 are embeddable. The existence of non-embedd...
COMBINATORICS
1999
14 years 9 months ago
1999
An asymptotic estimate is given for the coefficients of products of large powers of generating functions. This theorem and another local limit theorem which is useful for conditio...
COMBINATORICS
1999
14 years 9 months ago
1999
A Steiner triple system has a bicoloring with m color classes if the points are partitioned into m subsets and the three points in every block are contained in exactly two of the ...