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Algebraic Combinatorics on Words
2002Combinatorics on words has arisen independently within several branches of mathematics, for instance number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's book Combinatorics on Words. Originally published in 2002, this book
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Algorithmic Algebraic Combinatorics and Gröbner Bases
, 2009 This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theory of Grobner bases. Topics
Jurisic, Aleksandar +2 more
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The Topology of Algebra: Combinatorics of Squaring
Functional Analysis and Its Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exterior algebra and combinatorics
2023The extension of extremal combinatorics to the setting of exterior algebra is a work in progress that gained attention recently. In this thesis, we study the combinatorial structure of exterior algebra by introducing a dictionary that translates the notions from the set systems into the framework of exterior algebra.
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Chronological Algebras: Combinatorics and Control
Journal of Mathematical Sciences, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Enumerative combinatorics and algebraic languages
2006We give a survey of recent works relating algebraic languages with the combinatorics of "planar pictures" (i.e. planar maps, animals, polyominoes, secondary structures,…). Such objects are encoded with words. Applications are in enumeration theory, in connection with statistical Physics, molecular Biology, algorithmic complexity and computer graphics ...
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PARASTATISTICS ALGEBRAS AND COMBINATORICS
Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model, 2005We consider the algebras spanned by the creation parafermionic and parabosonic operators which give rise to generalized parastatistics Fock spaces. The basis of such a generalized Fock space can be labelled by Young tableaux which are combinatorial objects.
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On the Combinatorics of Free Algebras
1990In this survey paper I discuss recent results concerning free algebraic systems and I mention some old results which motivated them. There is no attempt to be comprehensive. The selection of topics is eclectic and personal but with a special emphasis on results of a combinatorial nature.
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