Date of Thesis Acceptance
Major Department or Program
This thesis surveys the most important results regarding complete words, by which we mean words containing as subsequences every permutation of some set, and then considers two variants of the problem of finding the shortest complete words. The first of these asks for the shortest superpattern, which is a complete word with some additional requirements, and the second asks for the expected number of timesteps before a particular random process generates a complete word.
Permutations, Number theory, Combinatorics on words, Combinatorial analysis, Whitman College 2015 -- Dissertation collection -- Mathematics Department
Public Accessible Thesis
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Biers-Ariel, Yonah, "Complete Words and Superpatterns" (2015). Honors Theses. 76.
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