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» On the combinatorics of Galois numbers
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COMBINATORICS
1998
80views more  COMBINATORICS 1998»
14 years 11 months ago
Periodic Sorting Using Minimum Delay, Recursively Constructed Merging Networks
Let α and β be a partition of {1, . . . , n} into two blocks. A merging network is a network of comparators which allows as input arbitrary real numbers and has the property tha...
Edward A. Bender, S. Gill Williamson
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
14 years 12 months ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
14 years 11 months ago
Strings with Maximally Many Distinct Subsequences and Substrings
A natural problem in extremal combinatorics is to maximize the number of distinct subsequences for any length-n string over a finite alphabet ; this value grows exponentially, but...
Abraham Flaxman, Aram Wettroth Harrow, Gregory B. ...
DAM
2008
92views more  DAM 2008»
14 years 12 months ago
Applications to cryptography of twisting commutative algebraic groups
We give an overview on twisting commutative algebraic groups and applications to discrete log based cryptography. We explain how discrete log based cryptography over extension fie...
Alice Silverberg
COMBINATORICS
2004
86views more  COMBINATORICS 2004»
14 years 11 months ago
Multiple Pattern Avoidance with respect to Fixed Points and Excedances
We study the distribution of the statistics `number of fixed points' and `number of excedances' in permutations avoiding subsets of patterns of length 3. We solve all th...
Sergi Elizalde