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Abstract: We study the distribution of the statistics `number of xed points' and `number of excedances' in permutations avoiding subsets of patterns of length 3. We solve all the cases of simultaneous avoidance of more than one pattern, giving generating functions enumerating these two statistics. Some cases are generalized to patterns of arbitrary length. For avoidance of one single pattern we give partial results. We also describe the distribution of these statistics in involutions avoiding any... (Update)
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2.7: Multiple Pattern Avoidance with Respect to Fixed Points and.. - Elizalde (2004) (Correct)
1.1: Bijections for Refined Restricted Permutations - Elizalde, Pak (2004) (Correct)
0.6: Pattern Avoidance in Permutations: Linear and Cyclic Orders - Vella (2003) (Correct)
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BibTeX entry: (Update)
@misc{ elizalde-multiple,
author = "Sergi Elizalde",
title = "Multiple Pattern Avoidance with Respect to Fixed Points and Excedances",
url = "citeseer.ist.psu.edu/elizalde04multiple.html" }
Citations (may not include all citations):267 Enumerative Combinatorics (context) - Stanley - 1997
108 An Introduction to the Analysis of Algorithms (context) - Sedgewick, Flajolet - 1996
61 Combinatorial aspects of continued fractions (context) - Flajolet - 1980
60 Some Combinatorial Properties of Schubert Polynomials - Billey, Jockusch et al. - 1993
53 Restricted Permutations (context) - Simion, Schmidt - 1985
35 Generating trees and the Catalan and Schroder numbers (context) - West - 1995
26 Permutations with restricted patterns and Dyck paths - Krattenthaler - 2001
26 Generating Trees and Forbidden Subsequences - West - 1996
12 Dyck path enumeration (context) - Deutsch - 1999
9 the diagram of 132-avoiding permutations (context) - Reifegerste - 2003
7 Fixed points and excedances in restricted permutations (context) - Elizalde
4 Enumeration of permutations containing a prescribed number o.. (context) - Fulmek - 2003
3 Re ned Restricted Permutations (context) - Robertson, Saracino et al. - 2003
2 A simple and unusual bijection for Dyck paths and its conseq.. (context) - Elizalde, Deutsch - 2003
2 eminaire Lotharingien de Combinatoire (context) - Guibert, Mansour et al. - 2002
2 personal communication (context) - ona, Guibert
2 Longest increasing subsequences in pattern-restricted permut.. - Deutsch, Hildebrand et al.
2 Re ned Restricted Involutions (context) - Deutsch, Robertson et al.
2 Pattern avoidance in cyclically ordered structures (context) - Vella - 2003
1 Bijections for re ned restricted permutations (context) - Elizalde, Pak - 2004
1 Re ned Restricted Permutations Avoiding Subsets of Patterns .. (context) - Mansour, Robertson - 2003
http://algo.inria.fr/flajolet/Publications/books.html)
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