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COMBINATORICS
2004
76views more  COMBINATORICS 2004»
14 years 9 months ago
Geometrically Constructed Bases for Homology of Partition Lattices
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
Anders Björner, Michelle L. Wachs
COMBINATORICS
2004
243views more  COMBINATORICS 2004»
14 years 9 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»
14 years 9 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
74views more  COMBINATORICS 2004»
14 years 9 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»
14 years 9 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