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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Universal Cycles of Classes of Restricted Words

Leitner, Arielle, Godbole, Anant P. 06 December 2010 (has links)
It is well known that Universal cycles (U-cycles) of k-letter words on an n-letter alphabet exist for all k and n. In this paper, we prove that Universal cycles exist for several restricted classes of words, including non-bijections, "equitable" words (under suitable restrictions), ranked permutations, and "passwords". In each case, proving the connectedness of the underlying de Bruijn digraph is a non-trivial step.

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