Mots de Lyndon et périodicité
Words over an ordered alphabet and suffix permutations
Given an ordered alphabet and a permutation, according to the lexicographic order, on the set of suffixes of a word , we present in this article a linear time and space method to determine whether a word has the same permutation on its suffixes. Using this method, we are then also able to build the class of all the words having the same permutation on their suffixes, first of all the smallest one. Finally, we note that this work can lead to a method for generating a Lyndon word randomly in linear...
Words over an ordered alphabet and suffix permutations
Given an ordered alphabet and a permutation, according to the lexicographic order, on the set of suffixes of a word , we present in this article a linear time and space method to determine whether a word has the same permutation on its suffixes. Using this method, we are then also able to build the class of all the words having the same permutation on their suffixes, first of all the smallest one. Finally, we note that this work can lead to a method for generating a Lyndon word randomly...
Efficient validation and construction of border arrays and validation of string matching automata
We present an on-line linear time and space algorithm to check if an integer array is the border array of at least one string built on a bounded or unbounded size alphabet . First of all, we show a bijection between the border array of a string and the skeleton of the DFA recognizing , called a string matching automaton (SMA). Different strings can have the same border array but the originality of the presented method is that the correspondence between a border array and a skeleton of SMA...
Efficient validation and construction of border arrays and validation of string matching automata
We present an on-line linear time and space algorithm to check if an integer array is the border array of at least one string built on a bounded or unbounded size alphabet . First of all, we show a bijection between the border array of a string and the skeleton of the DFA recognizing Σ*ω, called a string matching automaton (SMA). Different strings can have the same border array but the originality of the presented method is that the correspondence between a border array and a skeleton...
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