Steingrimsson, Einar (2010) Generalized permutation patterns - a short survey. London Mathematical Society Lecture Note Series. 137–152.
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An occurrence of a classical pattern p in a permutation π is a subsequence of π whose letters are in the same relative order (of size) as those in p. In an occurrence of a generalized pattern, some letters of that subsequence may be required to be adjacent in the permutation. Subsets of permutations characterized by the avoidance—or the prescribed number of occurrences— of generalized patterns exhibit connections to an enormous variety of other combinatorial structures, some of them apparently deep. We give a short overview of the state of the art for generalized patterns.
|Keywords:||permutation, pat- tern avoidance, Generalized permutation patterns, pattern, Electronic computers. Computer science|
|Subjects:||Science > Mathematics > Electronic computers. Computer science|
|Department:||Faculty of Science > Computer and Information Sciences|
|Depositing user:||Pure Administrator|
|Date Deposited:||18 Nov 2011 16:41|
|Last modified:||28 Oct 2016 07:16|