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116
Voted
COMBINATORICS
1998
15 years 3 months ago
1998
The paper gives a matrix-free presentation of the correspondence between full-length linear codes and projective multisets. It generalizes the BrouwerVan Eupen construction that t...
134
Voted
COMBINATORICS
1998
15 years 3 months ago
1998
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
COMBINATORICS
1999
15 years 3 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...
107
Voted
COMBINATORICS
1999
15 years 3 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 ...
116
Voted
COMBINATORICS
1999
15 years 3 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. ...