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COMBINATORICS
2000
103views more  COMBINATORICS 2000»
13 years 5 months ago
The Action of the Symmetric Group on a Generalized Partition Semilattice
Given an integer n 2, and a non-negative integer k, consider all affine hyperplanes in Rn of the form xi = xj +r for i, j [n] and a non-negative integer r k. Let n,k be the pos...
Robert Gill
COMBINATORICS
1999
99views more  COMBINATORICS 1999»
13 years 5 months ago
Deformation of Chains via a Local Symmetric Group Action
A symmetric group action on the maximal chains in a finite, ranked poset is local if the adjacent transpositions act in such a way that (i, i + 1) sends each maximal chain either ...
Patricia Hersh
CORR
2004
Springer
97views Education» more  CORR 2004»
13 years 5 months ago
Free quasi-symmetric functions, product actions and quantum field theory of partitions
Abstract. We investigate two associative products over the ring of symmetric functions related to the intransitive and Cartesian products of permutation groups. As an application, ...
Gérard Henry Edmond Duchamp, Jean-Gabriel L...
EMMCVPR
2001
Springer
13 years 10 months ago
Grouping with Directed Relationships
Abstract. Grouping is a global partitioning process that integrates local cues distributed over the entire image. We identify four types of pairwise relationships, attraction and r...
Stella X. Yu, Jianbo Shi
VMV
2008
129views Visualization» more  VMV 2008»
13 years 6 months ago
Shape Median Based on Symmetric Area Differences
Median averaging is a powerful averaging concept on sets of vector data in finite dimensions. A generalization of the median for shapes in the plane is introduced. The underlying ...
Benjamin Berkels, Gina Linkmann, Martin Rumpf