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A Saturation Algorithm for Homogeneous Binomial Ideals

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6831))

Abstract

Let k[x 1, …, x n ] be a polynomial ring in n variables, and let I ⊂ k[x 1, …, x n ] be a homogeneous binomial ideal. We describe a fast algorithm to compute the saturation, I:(x 1 ⋯ x n ) ∞ . In the special case when I is a toric ideal, we present some preliminary results comparing our algorithm with Project and Lift by Hemmecke and Malkin.

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Kesh, D., Mehta, S.K. (2011). A Saturation Algorithm for Homogeneous Binomial Ideals. In: Wang, W., Zhu, X., Du, DZ. (eds) Combinatorial Optimization and Applications. COCOA 2011. Lecture Notes in Computer Science, vol 6831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22616-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-22616-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22615-1

  • Online ISBN: 978-3-642-22616-8

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