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» Pattern Avoidance in Permutations: Linear and Cyclic Orders
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COMBINATORICS
2002
92views more  COMBINATORICS 2002»
13 years 4 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
EJC
2008
13 years 4 months ago
Pattern classes of permutations via bijections between linearly ordered sets
Abstract. A pattern class is a set of permutations closed under pattern involvement or, equivalently, defined by certain subsequence avoidance conditions. Any pattern class X which...
Sophie Huczynska, Nikola Ruskuc
COMBINATORICS
2002
73views more  COMBINATORICS 2002»
13 years 4 months ago
Prefix Exchanging and Pattern Avoidance by Involutions
Let In() denote the number of involutions in the symmetric group Sn which avoid the permutation . We say that two permutations , Sj may be exchanged if for every n, k, and order...
Aaron D. Jaggard
COMBINATORICS
2002
113views more  COMBINATORICS 2002»
13 years 4 months ago
Longest Increasing Subsequences in Pattern-Restricted Permutations
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf
CORR
2010
Springer
261views Education» more  CORR 2010»
13 years 2 months ago
Analysis of Quasi-Cyclic LDPC codes under ML decoding over the erasure channel
In this paper, we show that over the binary erasure channel, Quasi-Cyclic LDPC codes can efficiently accommodate the hybrid iterative/ML decoding. We demonstrate that the quasicycl...
Mathieu Cunche, Valentin Savin, Vincent Roca