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A Construction of Short Sequences Containing All Permutations of a Set as Subsequences

Sasa Radomirovic

Source record

Source: Crossref

Published: Nov 22, 2012

DOI: 10.37236/2859

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Source abstract

A sequence over a fixed finite set is said to be complete if it contains all permutations of the set as subsequences. Determining the length of shortest complete sequences is an open problem. We improve the existing upper bound and introduce tools to manually prove the completeness of sequences.

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A Construction of Short Sequences Containing All Permutations of a Set as Subsequences — Mathematical Frontier Network