Duncan, Paul and Steingrimsson, Einar (2011) Pattern avoidance in ascent sequences. The Electronic Journal of Combinatorics, 18 (1). ISSN 1077-8926Full text not available in this repository. (Request a copy from the Strathclyde author)
Ascent sequences are sequences of nonnegative integers with restrictions on the size of each letter, depending on the number of ascents preceding it in the sequence. Ascent sequences have recently been related to (2+2)-free posets and various other combinatorial structures. We study pattern avoidance in ascent sequences, giving several results for patterns of lengths up to 4, for Wilf equivalence and for growth rates. We establish bijective connections between pattern avoiding ascent sequences and various other combinatorial objects, in particular with set partitions. We also make a number of conjectures related to all of these aspects.
|Keywords:||ascent sequences, pattern avoidance, nonnegative integers, Electronic computers. Computer science, Computational Theory and Mathematics, Geometry and Topology, Theoretical Computer Science|
|Subjects:||Science > Mathematics > Electronic computers. Computer science|
|Department:||Faculty of Science > Computer and Information Sciences|
|Depositing user:||Pure Administrator|
|Date Deposited:||08 Aug 2012 12:54|
|Last modified:||26 Feb 2017 01:07|