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.
| Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-17962 |
| Date | 06 December 2010 |
| Creators | Leitner, Arielle, Godbole, Anant P. |
| Publisher | Digital Commons @ East Tennessee State University |
| Source Sets | East Tennessee State University |
| Detected Language | English |
| Type | text |
| Source | ETSU Faculty Works |
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