Return to search

Pattern Avoidance in Ordered Set Partitions

In this paper we consider the enumeration of ordered set partitions avoiding a permutation pattern of length 2 or 3. We provide an exact enumeration for avoiding the permutation 12. We also give exact enumeration for ordered partitions with 3 blocks and ordered partitions with n-1 blocks avoiding a permutation of length 3. We use enumeration schemes to recursively enumerate 123-avoiding ordered partitions with any block sizes. Finally, we give some asymptotic results for the growth rates of the number of ordered set partitions avoiding a single pattern; including a Stanley-Wilf type result that exhibits existence of such growth rates.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-17127
Date01 January 2014
CreatorsGodbole, Anant, Goyt, Adam, Herdan, Jennifer, Pudwell, Lara
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

Page generated in 0.0022 seconds