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ARSCOM
2005
59views more  ARSCOM 2005»
14 years 10 months ago
Simultaneous Avoidance Of Generalized Patterns
In [BabStein] Babson and Steingr
Sergey Kitaev, Toufik Mansour
ARSCOM
2005
61views more  ARSCOM 2005»
14 years 10 months ago
On multi-avoidance of generalized patterns
In [Kit1] Kitaev discussed simultaneous avoidance of two 3-patterns with no internal dashes, that is, where the patterns correspond to contiguous subwords in a permutation. In thre...
Sergey Kitaev, Toufik Mansour
COMBINATORICS
2004
86views more  COMBINATORICS 2004»
14 years 10 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
97
Voted
COMBINATORICS
2002
92views more  COMBINATORICS 2002»
14 years 10 months ago
Pattern Avoidance in Permutations: Linear and Cyclic Orders
: We generalize the notion of pattern avoidance to arbitrary functions on ordered sets, and consider specifically three scenarios for permutations: linear, cyclic and hybrid, the f...
Antoine Vella
ICC
2007
IEEE
135views Communications» more  ICC 2007»
15 years 4 months ago
Two-Dimensional Generalized Partial Response Equalizer for Bit-Patterned Media
The use of bit-patterned media is one of the approaches being investigated to extend magnetic recording densities to 1 Tbit/in2 and beyond. In patterned media, track pitch may be s...
Sheida Nabavi, B. V. K. Vijaya Kumar