arXiv subjects
Publications and source records attributed to Štěpán Holub.
We show that the equality language of two non-periodic binary morphisms is generated by at most two words. If its rank is two, then the generators start (and end) with different letters. This in particular implies that any binary language has a test set of cardinality at most two.
We analyze the algorithm in [Holub, 2009], which decides whether a given word is a fixed point of a nontrivial morphism. We show that it can be implemented to have complexity in O(mn), where n is the length of the word and m the size of the alphabet.
We show that paper folding words contain arbitrarily large abelian powers.
WORDS is the main international event in Combinatorics on Words. It is a biannual conference devoted to research of words (i.e., finite or infinite sequences of symbols over a finite alphabet) from combinatorial, algebraic and algorithmic points of view. The emphasis of the conference is on mathematical theory of words but the conference is also open to applications, mainly in computer science, biology, linguistics and physics, gaining from the fact that words arise as a natural object in many areas. The eighth edition of the conference was organized in Prague from 12th to 16th September 2011 as a joint undertaking of the Czech Technical University and the Charles University. This volume consists of contributed papers accepted for presentation at the conference and summaries of invited lectures.