Words Avoiding Reversed Factors, Revisited

In 2005, Rampersad and the second author proved a number of theorems about infinite words x with the property that if w is any sufficiently long finite factor of x, then its reversal w^R is not a factor of x. In this note we revisit these results, reproving them in more generality, using machine computations only. Two different techniques are presented

Words With Few Palindromes, Revisited

In 2013, Fici and Zamboni proved a number of theorems about finite and infinite words having only a small number of factors that are palindromes. In this paper we rederive some of their results, and obtain some new ones, by a different method based on finite automata.Comment: Minor typo correction