Samin Riasat, Master’s candidate
David R. Cheriton School of Computer Science
Fici et al. recently introduced the notion of anti-powers in the context of combinatorics on words. A power (also called tandem repeat) is a sequence of consecutive identical blocks. An anti-power is a sequence of consecutive distinct blocks of the same length.
Fici et al. showed that the existence of powers or anti-powers is an unavoidable regularity for sufficiently long words. In this thesis we explore this notion further in the context of binary words and obtain new results.
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