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» Permutations Avoiding Two Patterns of Length Three
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COMBINATORICS
2004
86views more  COMBINATORICS 2004»
13 years 4 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
2002
105views more  COMBINATORICS 2002»
13 years 4 months ago
Counting 1324-Avoiding Permutations
We consider permutations that avoid the pattern 1324. By studying the generating tree for such permutations, we obtain a recurrence formula for their number. A computer program pr...
Darko Marinov, Rados Radoicic
DM
2006
91views more  DM 2006»
13 years 4 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
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 4 months ago
Longest Common Pattern between two Permutations
In this paper, we give a polynomial (O(n8)) algorithm for finding a longest common pattern between two permutations of size n given that one is separable. We also give an algorithm...
Dominique Rossin, Mathilde Bouvel
COMBINATORICS
2006
133views more  COMBINATORICS 2006»
13 years 4 months ago
Completion of the Wilf-Classification of 3-5 Pairs Using Generating Trees
A permutation is said to avoid the permutation if no subsequence in has the same order relations as . Two sets of permutations 1 and 2 are Wilfequivalent if, for all n, the numb...
Mark Lipson