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» The lattice of embedded subsets
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CORR
2007
Springer
87views Education» more  CORR 2007»
13 years 9 months ago
Entropy of capacities on lattices and set systems
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability mea...
Aoi Honda, Michel Grabisch
DGCI
2003
Springer
14 years 2 months ago
Stability in Discrete Tomography: Linear Programming, Additivity and Convexity
The problem of reconstructing finite subsets of the integer lattice from X-rays has been studied in discrete mathematics and applied in several fields like image processing, data...
Sara Brunetti, Alain Daurat
COMBINATORICS
2002
85views more  COMBINATORICS 2002»
13 years 8 months ago
Parking Functions of Types A and B
The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parki...
Philippe Biane
STACS
2005
Springer
14 years 2 months ago
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Abraham Flaxman, Bartosz Przydatek
GD
2004
Springer
14 years 2 months ago
Algorithms for Drawing Media
We describe algorithms for drawing media, systems of states, tokens and actions that have state transition graphs in the form of partial cubes. Our algorithms are based on two prin...
David Eppstein