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» Permutations Avoiding Two Patterns of Length Three
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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
COMBINATORICS
2002
105views more  COMBINATORICS 2002»
14 years 11 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»
14 years 11 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»
14 years 11 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»
14 years 11 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