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Combinatorics on Words and Applications [PDF]

, 2014
This habilitation thesis combines two fields of mathematics – the main one is Combinatorics on Words and combinatorial results are applied in Random Number Generation.
Dvořáková, Lubomíra
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COMBINATORICS ON WORDS – A TUTORIAL [PDF]

, 2004
Berstel, Jean, Karhumäki, J.
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Enumerative combinatorics on words [PDF]

, 2001
Generating series, also called generating functions, play an important role in combinatorial mathematics. Many enumeration problems can be solved by transferring the basic operations on sets into algebraic operations on formal series leading to a solution of an enumeration problem.
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Ten Conferences WORDS and their Contribution to the Field of Combinatorics on WORDS

, 2016
International audienceThis prologue summarizes the history of the conference WORDS, and the contributions which were presented, our goal being to testify how the conference may be embedded in the development of the field of Combinatorics on ...
Néraud, Jean
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Combinatorics on Words 10th International Conference [PDF]

, 2015
This volume contains the Local Proceedings of the Tenth International Conference on WORDS, that took place at the Kiel University, Germany, from the 14th to the 17th September 2015.

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Periodicity and Repetition in Combinatorics on Words [PDF]

, 2004
This thesis concerns combinatorics on words. I present many results in this area, united by the common themes of periodicity and repetition. Most of these results have already appeared in journal or conference articles. Chapter 2 -- Chapter 5 contain the
Wang, Ming-wei, Ming-wei Wang
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Powers in a class of A-strict standard episturmian words [PDF]

, 2007
This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determine all integer powers occurring in such infinite words, extending recent ...
Glen, A.
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Combinatorics of Hall trees and Hall words

Journal of Combinatorial Theory, Series A, 1992
Hall bases are bases of the free Lie algebra, that can be constructed via special trees and words that are called Hall trees resp. Hall words. The author gives new combinatorial proofs of the unique factorisation of words in Hall words using a rewriting system and its properties.
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Formal languages, automata and numeration systems, volume 1: Introduction to combinatorics on words

, 2014
The goal is not to have an encyclopedic presentation of the subject, but to familiarize the reader with a series of selected selected topics on words (words, morphisms, factor complexity, Sturmian words, ...).
Rigo, Michel
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Combinatorics of $(m,n)$-Word Lattices

The Electronic Journal of Combinatorics
We study the $(m,n)$-word lattices recently introduced by V. Pilaud and D. Poliakova in their study of generalized Hochschild polytopes. We prove that these lattices are extremal and constructable by interval doublings. Moreover, we describe further combinatorial properties of these lattices, such as their cardinality, their canonical join ...
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