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Algorithmic Algebraic Combinatorics and Gröbner Bases

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 covered include coherent configurations, asso...

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Detalles Bibliográficos
Autores principales: Klin, Mikhail, Jones, Gareth A, Jurisic, Aleksandar
Lenguaje:eng
Publicado: Springer 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-01960-9
http://cds.cern.ch/record/1488382
Descripción
Sumario: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 covered include coherent configurations, association schemes, permutation groups, Latin squares, the Jacobian conjecture, mathematical chemistry, extremal combinatorics, coding theory, designs, etc. Special attention is paid to the description of innovative practical algorithms and their implementation in software packages such as GAP and MAGM