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Superpattern

In the mathematical study of permutations and permutation patterns, a superpattern or universal permutation is a permutation that contains all of the patterns of a given length. More specifically, a k-superpattern contains all possible patterns of length k.

Length bounds, Definitions and example & Random superpatterns

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Length bounds

Arratia2021Lexicographic orderingStirling's approximationEuler's number
7 related topics

Definitions and example

Order-isomorphic
1 related topics

Random superpatterns

Longest increasing subsequence
1 related topics

Overview

PermutationsPermutation patterns
2 related topics

Topics to explore

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Overview

Definitions and example

Length bounds

Random superpatterns

Advanced semantic analysis

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Map overview Semantic statistics

Superpattern

Nodes16
Edges15
Triples22
Avg. degree1.88
Density0.125
Components1

How this topic connects Entity context

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Superpattern

Top relations

related to Length bounds · 13
Superpattern → After, Arratia, Arratia's, Chroman, EngenandVatter, Euler's, He, Kwan, Miller, Stirling's, That, The, This
related to Definitions and example · 5
Superpattern → Equivalently, For, If, No, That
related to Random superpatterns · 4
Superpattern → Alon, Arratia, He, Researchers

Important terminology Word statistics

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Important terminology

length k2 patterns k-superpattern permutations random permutation pattern contains arratia also subsequence subsequences must bound conjecture given possible superpatterns 1999

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Superpatternrelated to Definitions and exampleIf0.60section
Superpatternrelated to Definitions and exampleThat0.60section
Superpatternrelated to Definitions and exampleEquivalently0.60section
Superpatternrelated to Definitions and exampleFor0.60section
Superpatternrelated to Definitions and exampleNo0.60section
Superpatternrelated to Length boundsArratia0.60section
Superpatternrelated to Length boundsHe0.60section
Superpatternrelated to Length boundsThat0.60section
Superpatternrelated to Length boundsStirling's0.60section
Superpatternrelated to Length boundsEuler's0.60section
Superpatternrelated to Length boundsThis0.60section
Superpatternrelated to Length boundsChroman0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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