A construction of short sequences containing all permutations of a set as subsequences
The electronic journal of combinatorics, Tome 19 (2012) no. 4
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.
DOI :
10.37236/2859
Classification :
68R15, 05A05
Mots-clés : combinatorics on words, shortest sequences, permutations
Mots-clés : combinatorics on words, shortest sequences, permutations
Affiliations des auteurs :
Sasa Radomirovic  1
@article{10_37236_2859,
author = {Sasa Radomirovic},
title = {A construction of short sequences containing all permutations of a set as subsequences},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {4},
doi = {10.37236/2859},
zbl = {1266.68152},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2859/}
}
Sasa Radomirovic. A construction of short sequences containing all permutations of a set as subsequences. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2859
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