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Algorithmic Algebraic Combinatorics and Groebner Bases (Paperback, 2009 ed.)
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Algorithmic Algebraic Combinatorics and Groebner Bases (Paperback, 2009 ed.)
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In 2006 a special semester on Gr. obner bases and related methods
was or- nized by RICAM and RISC, directed by Bruno Buchberger and
Heinz Engl. The main focus of the semester were the development of
the formal theory of Gr. obner bases (brie?y GB), the e?cient
implementation of all algorithms related to this theory, and the
promotion of recent and new applications of GB. The workshop D1
"Gr. obner bases in cryptography, coding theory and - gebraic
combinatorics", Linz, May 1-6, 2006 (chairmen M. Klin, L. Perret,
M. Sala) was one of the main ingredients of the semester. The last
two days of this workshop, devoted to combinatorics, made it
possible to bring together experts in algorithmic problems related
to coherent con?gurations and as- ciation schemes with a community
of people working in the area of GB. Each side was interested in
understanding the computational problems and current
algorithmicpossibilitiesoftheother,withaparticularobjectiveofintroducing
the practical use of GB in algebraic combinatorics. Materials
(mainly slides of lectures and posters) available from the site
http://www.ricam.oeaw.ac.at/specsem/srs/groeb/schedule
D1.htmlprovidea helpful and vivid picture of the successful
exchange of scienti? c information during the workshop D1.
Asafollow-uptothespecialsemester,10volumesofproceedingsarebeing
published by di?erent publishers. The current collection of papers
re?ects diverse investigations in the area of algebraic
combinatorics (with or without explicit use of GB), but with a
de?nite emphasis on algorithmic approaches.
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