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COMBINATORICS
1998
42views more  COMBINATORICS 1998»
13 years 6 months ago
On Noncrossing and Nonnesting Partitions for Classical Reflection Groups
The number of noncrossing partitions of {1, 2, . . . , n} with fixed block sizes has a simple closed form, given by Kreweras, and coincides with the corresponding number for nonne...
Christos A. Athanasiadis
COMBINATORICS
1998
113views more  COMBINATORICS 1998»
13 years 6 months ago
A Multivariate Lagrange Inversion Formula for Asymptotic Calculations
The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an...
Edward A. Bender, L. Bruce Richmond
ICIP
1998
IEEE
14 years 8 months ago
A Combinatorical Approach to Vector Tomography for Doppler Spectral Data
Velocity spectra of a flow can be made by ultrasound Doppler measurements. Using only part of the information in these spectra, it is possible to reconstruct the solenoid part and...
Kent Stråhlén
COMBINATORICS
1998
84views more  COMBINATORICS 1998»
13 years 6 months ago
Multimatroids II. Orthogonality, minors and connectivity
A multimatroid is a combinatorial structure that encompasses matroids, delta-matroids and isotropic systems. This structure has been introduced to unify a theorem of Edmonds on th...
André Bouchet
COMBINATORICS
1998
80views more  COMBINATORICS 1998»
13 years 6 months ago
Increasing Subsequences and the Classical Groups
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...
Eric M. Rains