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

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.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-16302
Date01 May 2016
CreatorsKing, Adam, Laubmeier, Amanda, Orans, Kai, Godbole, Anant
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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