The origins of combinatorics on words
نویسندگان
چکیده
We investigate the historical roots of the field of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. These considerations gave rise to early results such as those of Axel Thue at the beginning of the 20th century. Other early results were obtained as a by-product of investigations on various combinatorial objects. For example, paths in graphs are encoded by words in a natural way, and conversely, the Cayley graph of a group or a semigroup encodes words by paths. We give in this text an account of this two-sided interaction. c © 2005 Elsevier Ltd. All rights reserved.
منابع مشابه
Research Statement for Jeffrey
My mathematical interests lie mainly in the field of combinatorics and how combinatorics can be used to prove algebraic identities. My current research is in the area of enumerative and algebraic combinatorics with an emphasis on counting the number of patterns which occur in words and permutations. This has been a very active area of research in recent years and there is a yearly conference, P...
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عنوان ژورنال:
- Eur. J. Comb.
دوره 28 شماره
صفحات -
تاریخ انتشار 2007