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» On the Homological Dimension of Lattices
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CORR
2004
Springer
108views Education» more  CORR 2004»
13 years 6 months ago
The lattice dimension of a graph
The Fibonacci dimension fdim(G) of a graph G is introduced as the smallest integer f such that G admits an isometric embedding into f , the f-dimensional Fibonacci cube. We give b...
David Eppstein
VDA
2010
166views Visualization» more  VDA 2010»
13 years 4 months ago
Critical region analysis of scalar fields in arbitrary dimensions
The exploration of multidimensional scalar fields is commonly based on the knowledge of the topology of their isosurfaces. The latter is established through the analysis of critic...
Madjid Allili, Marc Ethier, Tomasz Kaczynski
SCN
2010
Springer
122views Communications» more  SCN 2010»
13 years 5 months ago
Recursive Lattice Reduction
Abstract. Lattice reduction is known to be a very powerful tool in modern cryptanalysis. In the literature, there are many lattice reduction algorithms that have been proposed with...
Thomas Plantard, Willy Susilo
ORDER
2002
107views more  ORDER 2002»
13 years 6 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
JC
2006
115views more  JC 2006»
13 years 6 months ago
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions
We study the problem of multivariate integration on the unit cube for unbounded integrands. Our study is motivated by problems in statistics and mathematical finance, where unboun...
Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Slo...