Minkowski Addition of Polytopes: Computational Complexity and Applications to Groebner Bases

Minkowski Addition of Polytopes: Computational Complexity and Applications to Groebner Bases
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Total Pages : 32
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ISBN-10 : OCLC:23361833
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Book Synopsis Minkowski Addition of Polytopes: Computational Complexity and Applications to Groebner Bases by : DIMACS (GROUP)

Download or read book Minkowski Addition of Polytopes: Computational Complexity and Applications to Groebner Bases written by DIMACS (GROUP) and published by . This book was released on 1990 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the Minkowski addition of Newton polytopes, we show that the following problem can be solved in polynomial time for any finite set of polynomials [formula], where d is fixed: Does there exist a term order [tau] such that [Tau] is a Gröbner basis for its ideal with respect to [tau]? If not, find an optimal term order for [Tau] with respect to a natural Hilbert function criterion."


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This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres around a special class of ideals in a polyn