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Palindromic Saturation

2008/02/21 by Ľubomíra Balková, Edita Pelantová, Balková, L. +1
Engineering · Physics and Astronomy · Computer Science · #Microfluidic and Capillary Electrophoresis Applications #Force Microscopy Techniques and Applications #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0802.2995

Abstract

We consider two seemingly different definitions of infinite words which contain the utmost number of palindromes. We show that these two definitions coincide. The keynote of the proof is a meticulous inspection of properties of complete return words and the application of some basic graph theory. In fact, we provide another proof of the result announced in \citeZamboni.

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