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

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Rezeption und Interpretation. EinleitungThe magic tool used is the machinery of Gröbner bases. We use the powerful tools of computational algebra and in particular the theory of Gröbner bases in order to solve a certain ideal membership problem in an algebra of many variables polynomials over the complex field. The Jacobian condition sati

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Denken in Strukturen und seine Geschichteific set systems, we obtain results in extremal combinatorics. Finally, we point out a connection among the standard monomials of .(.) and .(..), where .⊆{0,1}. and ..={0,1}.∖.. This has immediate consequences in combinatorial complexity theory..The main results have appeared elsewhere in several pa

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Siamese Combinatorial Objects via Computer Algebra Experimentationassociation 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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A Construction of Isomorphism Classes of Oriented Matroidsoutput 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

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