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» Implicit Enumeration of Patterns
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COMBINATORICS
2004
86views more  COMBINATORICS 2004»
13 years 9 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
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 9 months ago
Matchings Avoiding Partial Patterns and Lattice Paths
In this paper, we consider matchings avoiding partial patterns 1123 and 1132. We give a bijection between 1123-avoiding matchings with n edges and nonnegative lattice paths from (...
Vít Jelínek, Nelson Y. Li, Toufik Ma...
KDD
2008
ACM
246views Data Mining» more  KDD 2008»
14 years 10 months ago
Direct mining of discriminative and essential frequent patterns via model-based search tree
Frequent patterns provide solutions to datasets that do not have well-structured feature vectors. However, frequent pattern mining is non-trivial since the number of unique patter...
Wei Fan, Kun Zhang, Hong Cheng, Jing Gao, Xifeng Y...
COMBINATORICS
2000
128views more  COMBINATORICS 2000»
13 years 9 months ago
Continued Fractions and Catalan Problems
We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to...
Mahendra Jani, Robert G. Rieper
DM
2006
91views more  DM 2006»
13 years 9 months ago
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some ...
Alexander Burstein, Sergi Elizalde, Toufik Mansour