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- Q7169371 subject Q13285548.
- Q7169371 abstract "In combinatorial mathematics and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. A permutation π of length n is written as a word in one-line notation (i.e., in two-line notation with the first line omitted) as π = π1π2…πn, where πi is the ith number in the word. For example, in the permutation π = 391867452, π1=3 and π9=2. A permutation π is said to contain the permutation σ if there exists a subsequence of (not necessarily consecutive) entries of π that has the same relative order as σ, and in this case σ is said to be a pattern of π, written σ ≤ π. Otherwise, π is said to avoid the permutation σ. For example, the permutation π = 391867452 contains the pattern σ = 51342, as can be seen in the highlighted subsequence of π = 391867452 (or π = 391867452 or π = 391867452 or π = 391867452). Each subsequence (91674, 91675, 91672, 91452) is called a copy, instance, or occurrence of σ. Since the permutation π = 391867452 contains no increasing subsequence of length four, π avoids 1234.".
- Q7169371 wikiPageExternalLink pp2012.
- Q7169371 wikiPageExternalLink demorganhouse.org.uk.
- Q7169371 wikiPageExternalLink ~pp2010.
- Q7169371 wikiPageExternalLink patterns.html.
- Q7169371 wikiPageExternalLink pp05.html.
- Q7169371 wikiPageExternalLink ~pp2007.
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- Q7169371 wikiPageExternalLink PP2003.
- Q7169371 wikiPageExternalLink Home.html.
- Q7169371 wikiPageExternalLink PP2008.
- Q7169371 wikiPageExternalLink ~PP2009.
- Q7169371 wikiPageExternalLink pp2014.
- Q7169371 wikiPageExternalLink pp2013.
- Q7169371 wikiPageExternalLink permutationpatterns2016.wordpress.com.
- Q7169371 wikiPageExternalLink pp2015london.
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- Q7169371 comment "In combinatorial mathematics and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. A permutation π of length n is written as a word in one-line notation (i.e., in two-line notation with the first line omitted) as π = π1π2…πn, where πi is the ith number in the word. For example, in the permutation π = 391867452, π1=3 and π9=2.".
- Q7169371 label "Permutation pattern".