Computing Permutation EncodingsLeino, K. Rustan M. (1994) Computing Permutation Encodings. Technical Report. California Institute of Technology. [CaltechCSTR:1994.cs-tr-94-10] Full text available as:
AbstractWe consider some encodings of permutations of the first N natural numbers, discuss some relations among them and how one can be computed from others. We show a short proof of an existing efficient algorithm for one encoding, and present two new efficient algorithms for encoding permutations. One of these algorithms is constructed as the inverse of an existing algorithm for decoding, making it the first efficient permutation encoding algorithm obtained that way.
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