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» Algorithms for Pattern Involvement in Permutations
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2002
104views more  ORDER 2002»
13 years 4 months ago
Partially Well-Ordered Closed Sets of Permutations
It is known that the "pattern containment" order on permutations is not a partial well-order. Nevertheless, many naturally defined subsets of permutations are partially ...
Mike D. Atkinson, Max Murphy, Nikola Ruskuc
COMBINATORICS
1999
75views more  COMBINATORICS 1999»
13 years 5 months ago
On the Stanley-Wilf Conjecture for the Number of Permutations Avoiding a Given Pattern
Abstract. Consider, for a permutation Sk, the number F(n, ) of permutations in Sn which avoid as a subpattern. The conjecture of Stanley and Wilf is that for every there is a c...
Richard Arratia
EJC
2008
13 years 5 months ago
Pattern classes of permutations via bijections between linearly ordered sets
Abstract. A pattern class is a set of permutations closed under pattern involvement or, equivalently, defined by certain subsequence avoidance conditions. Any pattern class X which...
Sophie Huczynska, Nikola Ruskuc
COMBINATORICS
2006
83views more  COMBINATORICS 2006»
13 years 5 months ago
Permutations Generated by a Stack of Depth 2 and an Infinite Stack in Series
We prove that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of forbidden patterns) consisting of 20 permutati...
Murray Elder
ISAAC
2009
Springer
245views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Pattern Matching for 321-Avoiding Permutations
Sylvain Guillemot, Stéphane Vialette