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Partial permutation

In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of S. That is, it is defined by two subsets U and V of equal size, and a one-to-one mapping from U to V. Equivalently, it is a partial function on S that can be extended to a permutation.

Art, Combinatorial enumeration & Representation

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Combinatorial enumeration

Integer sequenceOEISRecurrence relation
3 related topics

Representation

StringDomain
2 related topics

Restricted partial permutations

K-permutations
1 related topics

Overview

Combinatorial mathematicsFinite setBijectionSubsetsOne-to-one mapping
7 related topics

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Representation

Combinatorial enumeration

Restricted partial permutations

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Partial permutation

Nodes18
Edges17
Triples7
Avg. degree1.89
Density0.111111
Components1

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Partial permutation

Top relations

related to Representation · 4
Partial permutation → For, In, It, The
related to Restricted partial permutations · 2
Partial permutation → In, Some
related to Combinatorial enumeration · 1
Partial permutation → The

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Important terminology

partial permutation set permutations two subsets sequence string combinatorial bijection case first displaystyle without repetition size domain range hole number

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SubjectPredicateObjectConfidenceSrc
Partial permutationrelated to Combinatorial enumerationThe0.60section
Partial permutationrelated to RepresentationIt0.60section
Partial permutationrelated to RepresentationIn0.60section
Partial permutationrelated to RepresentationFor0.60section
Partial permutationrelated to RepresentationThe0.60section
Partial permutationrelated to Restricted partial permutationsSome0.60section
Partial permutationrelated to Restricted partial permutationsIn0.60section

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