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» Lattices on simplicial partitions
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JMIV
1998
93views more  JMIV 1998»
13 years 8 months ago
Connectivity on Complete Lattices
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A non topological axiomatics has been proposed by Matheron and Serra. The present pa...
Jean Serra
COMBINATORICS
2000
103views more  COMBINATORICS 2000»
13 years 8 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
DAM
2007
141views more  DAM 2007»
13 years 8 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
ORDER
2008
100views more  ORDER 2008»
13 years 8 months ago
Orthogonal Surfaces and Their CP-Orders
Orthogonal surfaces are nice mathematical objects which have interesting connections to various fields, e.g., integer programming, monomial ideals and order dimension. While orthog...
Stefan Felsner, Sarah Kappes
JCT
2006
75views more  JCT 2006»
13 years 8 months ago
New polytopes from products
We construct a new 2-parameter family Emn, m, n 3, of self-dual 2-simple and 2-simplicial 4-polytopes, with flexible geometric realisations. E44 is the 24-cell. For large m, n the...
Andreas Paffenholz