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Presentation
Superpatterns and Generalizations of Layered Permutations
Midwestern Conference on Combinatorics and Combinatorial Computing (MCCCC)
  • Daniel Gray, Georgia Southern University
  • Matthew R. Just, Georgia Southern University
  • Hua Wang, Georgia Southern University
Document Type
Presentation
Presentation Date
10-17-2015
Abstract or Description

In the study of permutation patterns, superpatterns are permutations that contain many patterns at least once. For a set P of permutations, we say that a permutation σ is a P -superpattern if it contains every permutation in P , and we denote by sp(P ) the shortest length of all P -superpatterns. When P is the set of layered permutations of length k, it has been shown that sp(P ) = Θ(k log(k)). The notion of superpatterns can be extended naturally to words. In this talk, we explore some generalizations of layered permutations to ‘layered words’ and seek to find shortest lengths for superpatterns containing these sets.

Location
Charleston, SC
Citation Information
Daniel Gray, Matthew R. Just and Hua Wang. "Superpatterns and Generalizations of Layered Permutations" Midwestern Conference on Combinatorics and Combinatorial Computing (MCCCC) (2015)
Available at: http://works.bepress.com/daniel-gray/14/