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DM
2008
61views more  DM 2008»
13 years 9 months ago
Wilf classification of three and four letter signed patterns
We give some new Wilf equivalences for signed patterns which allow the complete classification of signed patterns of lengths three and four. The problem is considered for pattern a...
W. M. B. Dukes, Toufik Mansour, Astrid Reifegerste
COMBINATORICS
2002
71views more  COMBINATORICS 2002»
13 years 9 months ago
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
Several authors have examined connections between permutations which avoid 132, continued fractions, and Chebyshev polynomials of the second kind. In this paper we prove analogues...
Eric S. Egge, Toufik Mansour
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
2000
88views more  COMBINATORICS 2000»
13 years 9 months ago
An Infinite Antichain of Permutations
We constructively prove that the partially ordered set of finite permutations ordered by deletion of entries contains an infinite antichain. In other words, there exists an infini...
Daniel A. Spielman, Miklós Bóna
ICALP
2001
Springer
14 years 2 months ago
Permutation Editing and Matching via Embeddings
Abstract. If the genetic maps of two species are modelled as permutations of (homologous) genes, the number of chromosomal rearrangements in the form of deletions, block moves, inv...
Graham Cormode, S. Muthukrishnan, Süleyman Ce...