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Universal and Overlap Cycles for Posets, Words, and Juggling Patterns

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Abstract

We discuss results dealing with universal cycles (ucycles) and s-overlap cycles, and contribute to the body of those results by proving existence of universal cycles of naturally labeled posets (NL posets), s-overlap cycles of words of weight k, and juggling patterns. The result on posets is, to the best of our knowledge, the first demonstration of the existence of a ucycle whose length is unknown.

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Acknowledgments

The research of all four authors was supported by NSF Grant 1263009.

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Authors and Affiliations

  1. University of Louisville, Louisville, USA

    Adam King

  2. North Carolina State University, Raleigh, USA

    Amanda Laubmeier

  3. Pomona College, Claremont, USA

    Kai Orans

  4. East Tennessee State University, Johnson City, USA

    Anant Godbole

Authors
  1. Adam King
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  2. Amanda Laubmeier
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  3. Kai Orans
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  4. Anant Godbole
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Correspondence to Anant Godbole.

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King, A., Laubmeier, A., Orans, K. et al. Universal and Overlap Cycles for Posets, Words, and Juggling Patterns. Graphs and Combinatorics 32, 1013–1025 (2016). https://doi.org/10.1007/s00373-015-1632-4

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  • DOI: https://doi.org/10.1007/s00373-015-1632-4

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