publication . Preprint . 2008

Universal Cycles of Restricted Classes of Words

Leitner, Arielle; Godbole, Anant;
Open Access English
  • Published: 08 Aug 2008
Abstract
It is well known that Universal 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 restricted classes of words, including: non-bijections, equitable words (under suitable restrictions), ranked permutations, and "passwords".
Subjects
arXiv: Computer Science::Formal Languages and Automata TheoryMathematics::CombinatoricsComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
free text keywords: Mathematics - Combinatorics, 05B99
Related Organizations
Funded by
NSF| REU Site: Probability and Discrete Mathematics
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0552730
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
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