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COMBINATORICS
2004
243views more  COMBINATORICS 2004»
15 years 6 months ago
Class-Uniformly Resolvable Group Divisible Structures II: Frames
We consider Class-Uniformly Resolvable frames (CURFs), which are group divisible designs with partial resolution classes subject to the class-uniform condition. We derive the nece...
Peter Danziger, Brett Stevens
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
15 years 6 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd
COMBINATORICS
2004
86views more  COMBINATORICS 2004»
15 years 6 months ago
Multiple Pattern Avoidance with respect to Fixed Points and Excedances
We study the distribution of the statistics `number of fixed points' and `number of excedances' in permutations avoiding subsets of patterns of length 3. We solve all th...
Sergi Elizalde
COMBINATORICS
2004
74views more  COMBINATORICS 2004»
15 years 6 months ago
Enumerative Problems Inspired by Mayer's Theory of Cluster Integrals
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing...
Pierre Leroux
COMBINATORICS
2004
99views more  COMBINATORICS 2004»
15 years 6 months ago
A Fast Algorithm for MacMahon's Partition Analysis
This paper deals with evaluating constant terms of a special class of rational functions, the Elliott-rational functions. The constant term of such a function can be read off immed...
Guoce Xin