Titlebook: Algorithmic Algebraic Combinatorics and Gröbner Bases; Mikhail Klin,Gareth A. Jones,Ilia Ponomarenko Book 2009 Springer-Verlag Berlin Heid

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https://doi.org/10.1007/978-3-642-01960-9Algebra; Area; Computer; Graph; Gröbner bases; Permutation; algorithms; association scheme; coding theory; co

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978-3-642-42438-0Springer-Verlag Berlin Heidelberg 2009

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https://doi.org/10.1007/978-3-8350-5468-4metric Latin square graphs. With the aid of this approach an infinite series of proper loops is presented which have a sharply transitive group of collineations. The interest in such loops was expressed by A. Barlotti and K. Strambach.

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,Uitleg “cognitieve gedragstherapie”,association scheme and Siamese Steiner design. With the aid of a computer, we determine all Siamese objects on 15 points, as well as hundreds on 40 points. As a generalization of accumulated observations, an infinite series of Siamese association schemes related to certain imprimitive actions of the

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Rezeption und Interpretation. Einleitungatics by Steve Smale in his address to the Millennium ICM (in the year 2000). Given a polynomial mapping .: ℂ.→ℂ. which has a nonzero constant determinant of its Jacobian matrix (.), the conjecture is that . is an invertible morphism. This means that it is injective, surjective and that its inverse

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Denken in Strukturen und seine Geschichterial problems can be formulated in terms of some finite ., and then Gröbner bases and standard monomials of .(.) yield a powerful tool for solving them..We present the Lex Game method, which allows one to efficiently compute the lexicographic standard monomials of .(.) for any finite set.. We apply

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https://doi.org/10.1007/978-3-658-06532-4output can be controlled via a variety of possible restrictions allowing to generate specific sets of oriented matroids..The tool was mainly intended for application in chemistry: According to an idea of A. Dreiding and A. Dress, oriented matroid generation may be used as a first step towards a conf