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Reconstructing Permutations from Cycle Minors

Author(s)
Monks, Maria
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Abstract
The ith cycle minor of a permutation p of the set {1,2,…,n} is the permutation formed by deleting an entry i from the decomposition of p into disjoint cycles and reducing each remaining entry larger than i by 1. In this paper, we show that any permutation of {1,2,…,n} can be reconstructed from its set of cycle minors if and only if n≥6. We then use this to provide an alternate proof of a known result on a related reconstruction problem.
Date issued
2009-02
URI
http://hdl.handle.net/1721.1/89803
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Electronic Journal of Combinatorics
Publisher
Electronic Journal of Combinatorics
Citation
Monks, Maria. "Reconstructing Permutations from Cycle Minors." Electronic Journal of Combinatorics, Volume 16, Issue 1 (2009).
Version: Final published version
ISSN
1077-8926

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